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Finding the Fourth Proportional to 205,788,976.64, 283,978,358.24 and 122,160,681.92

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Solution

The fourth proportional to 205,788,976.64, 283,978,358.24 and 122,160,681.92 is: 168,575,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,788,976.64 : 283,978,358.24 = 122,160,681.92 : x
  2. Step 2: Convert to fraction form
    205,788,976.64/283,978,358.24 = 122,160,681.92/x
  3. Step 3: Cross multiply
    205,788,976.64x = 283,978,358.24 × 122,160,681.92
  4. Step 4: Simplify right side
    205,788,976.64x = 34,690,989,893,120,452
  5. Step 5: Solve for x
    x = 34,690,989,893,120,452/205,788,976.64
  6. Step 6: Final answer
    x = 168,575,549.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.