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Finding the Fourth Proportional to 287,689.30, 431,566.35 and 88,008.10

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Solution

The fourth proportional to 287,689.30, 431,566.35 and 88,008.10 is: 132,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,689.30 : 431,566.35 = 88,008.10 : x
  2. Step 2: Convert to fraction form
    287,689.30/431,566.35 = 88,008.10/x
  3. Step 3: Cross multiply
    287,689.30x = 431,566.35 × 88,008.10
  4. Step 4: Simplify right side
    287,689.30x = 37,981,334,487.44
  5. Step 5: Solve for x
    x = 37,981,334,487.44/287,689.30
  6. Step 6: Final answer
    x = 132,022.06

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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.