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Finding the Fourth Proportional to 86,458.60, 129,428.70 and 81,332.20

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Solution

The fourth proportional to 86,458.60, 129,428.70 and 81,332.20 is: 121,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,458.60 : 129,428.70 = 81,332.20 : x
  2. Step 2: Convert to fraction form
    86,458.60/129,428.70 = 81,332.20/x
  3. Step 3: Cross multiply
    86,458.60x = 129,428.70 × 81,332.20
  4. Step 4: Simplify right side
    86,458.60x = 10,526,720,914.14
  5. Step 5: Solve for x
    x = 10,526,720,914.14/86,458.60
  6. Step 6: Final answer
    x = 121,754.47

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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.