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Finding the Fourth Proportional to 137,285.28, 205,714.62 and 66,131.28

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Solution

The fourth proportional to 137,285.28, 205,714.62 and 66,131.28 is: 99,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,285.28 : 205,714.62 = 66,131.28 : x
  2. Step 2: Convert to fraction form
    137,285.28/205,714.62 = 66,131.28/x
  3. Step 3: Cross multiply
    137,285.28x = 205,714.62 × 66,131.28
  4. Step 4: Simplify right side
    137,285.28x = 13,604,171,135.31
  5. Step 5: Solve for x
    x = 13,604,171,135.31/137,285.28
  6. Step 6: Final answer
    x = 99,094.17

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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.