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Finding the Fourth Proportional to 86,292.24, 129,350.70 and 65,472

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Solution

The fourth proportional to 86,292.24, 129,350.70 and 65,472 is: 98,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,292.24 : 129,350.70 = 65,472 : x
  2. Step 2: Convert to fraction form
    86,292.24/129,350.70 = 65,472/x
  3. Step 3: Cross multiply
    86,292.24x = 129,350.70 × 65,472
  4. Step 4: Simplify right side
    86,292.24x = 8,468,849,030.40
  5. Step 5: Solve for x
    x = 8,468,849,030.40/86,292.24
  6. Step 6: Final answer
    x = 98,141.49

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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.