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Finding the Fourth Proportional to 65,689.62, 90,646.52 and 37,008.02

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Solution

The fourth proportional to 65,689.62, 90,646.52 and 37,008.02 is: 51,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.62 : 90,646.52 = 37,008.02 : x
  2. Step 2: Convert to fraction form
    65,689.62/90,646.52 = 37,008.02/x
  3. Step 3: Cross multiply
    65,689.62x = 90,646.52 × 37,008.02
  4. Step 4: Simplify right side
    65,689.62x = 3,354,647,586.82
  5. Step 5: Solve for x
    x = 3,354,647,586.82/65,689.62
  6. Step 6: Final answer
    x = 51,068.15

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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.