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Finding the Fourth Proportional to 86,369.76, 129,510.36 and 39,582

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Solution

The fourth proportional to 86,369.76, 129,510.36 and 39,582 is: 59,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,369.76 : 129,510.36 = 39,582 : x
  2. Step 2: Convert to fraction form
    86,369.76/129,510.36 = 39,582/x
  3. Step 3: Cross multiply
    86,369.76x = 129,510.36 × 39,582
  4. Step 4: Simplify right side
    86,369.76x = 5,126,279,069.52
  5. Step 5: Solve for x
    x = 5,126,279,069.52/86,369.76
  6. Step 6: Final answer
    x = 59,352.71

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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.