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Finding the Fourth Proportional to 86,438, 129,655.68 and 52,713.92

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Solution

The fourth proportional to 86,438, 129,655.68 and 52,713.92 is: 79,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438 : 129,655.68 = 52,713.92 : x
  2. Step 2: Convert to fraction form
    86,438/129,655.68 = 52,713.92/x
  3. Step 3: Cross multiply
    86,438x = 129,655.68 × 52,713.92
  4. Step 4: Simplify right side
    86,438x = 6,834,659,143.07
  5. Step 5: Solve for x
    x = 6,834,659,143.07/86,438
  6. Step 6: Final answer
    x = 79,070.08

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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.