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Finding the Fourth Proportional to 65,731.62, 90,714.38 and 37,437.30

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Solution

The fourth proportional to 65,731.62, 90,714.38 and 37,437.30 is: 51,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.62 : 90,714.38 = 37,437.30 : x
  2. Step 2: Convert to fraction form
    65,731.62/90,714.38 = 37,437.30/x
  3. Step 3: Cross multiply
    65,731.62x = 90,714.38 × 37,437.30
  4. Step 4: Simplify right side
    65,731.62x = 3,396,101,551.97
  5. Step 5: Solve for x
    x = 3,396,101,551.97/65,731.62
  6. Step 6: Final answer
    x = 51,666.18

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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.