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Finding the Fourth Proportional to 205,092.64, 307,676.40 and 64,890.40

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Solution

The fourth proportional to 205,092.64, 307,676.40 and 64,890.40 is: 97,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,092.64 : 307,676.40 = 64,890.40 : x
  2. Step 2: Convert to fraction form
    205,092.64/307,676.40 = 64,890.40/x
  3. Step 3: Cross multiply
    205,092.64x = 307,676.40 × 64,890.40
  4. Step 4: Simplify right side
    205,092.64x = 19,965,244,666.56
  5. Step 5: Solve for x
    x = 19,965,244,666.56/205,092.64
  6. Step 6: Final answer
    x = 97,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.