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Finding the Fourth Proportional to 86,428, 129,663.87 and 24,098.50

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Solution

The fourth proportional to 86,428, 129,663.87 and 24,098.50 is: 36,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,428 : 129,663.87 = 24,098.50 : x
  2. Step 2: Convert to fraction form
    86,428/129,663.87 = 24,098.50/x
  3. Step 3: Cross multiply
    86,428x = 129,663.87 × 24,098.50
  4. Step 4: Simplify right side
    86,428x = 3,124,704,771.20
  5. Step 5: Solve for x
    x = 3,124,704,771.20/86,428
  6. Step 6: Final answer
    x = 36,153.85

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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.