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Finding the Fourth Proportional to 51,689.88, 71,329.50 and 29,341.08

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Solution

The fourth proportional to 51,689.88, 71,329.50 and 29,341.08 is: 40,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689.88 : 71,329.50 = 29,341.08 : x
  2. Step 2: Convert to fraction form
    51,689.88/71,329.50 = 29,341.08/x
  3. Step 3: Cross multiply
    51,689.88x = 71,329.50 × 29,341.08
  4. Step 4: Simplify right side
    51,689.88x = 2,092,884,565.86
  5. Step 5: Solve for x
    x = 2,092,884,565.86/51,689.88
  6. Step 6: Final answer
    x = 40,489.25

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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.