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Finding the Fourth Proportional to 86,862.12, 129,997.32 and 72,838

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Solution

The fourth proportional to 86,862.12, 129,997.32 and 72,838 is: 109,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,862.12 : 129,997.32 = 72,838 : x
  2. Step 2: Convert to fraction form
    86,862.12/129,997.32 = 72,838/x
  3. Step 3: Cross multiply
    86,862.12x = 129,997.32 × 72,838
  4. Step 4: Simplify right side
    86,862.12x = 9,468,744,794.16
  5. Step 5: Solve for x
    x = 9,468,744,794.16/86,862.12
  6. Step 6: Final answer
    x = 109,008.91

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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.