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Finding the Fourth Proportional to 81,882.47, 122,750.65 and 31,950.95

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Solution

The fourth proportional to 81,882.47, 122,750.65 and 31,950.95 is: 47,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.47 : 122,750.65 = 31,950.95 : x
  2. Step 2: Convert to fraction form
    81,882.47/122,750.65 = 31,950.95/x
  3. Step 3: Cross multiply
    81,882.47x = 122,750.65 × 31,950.95
  4. Step 4: Simplify right side
    81,882.47x = 3,921,999,960.49
  5. Step 5: Solve for x
    x = 3,921,999,960.49/81,882.47
  6. Step 6: Final answer
    x = 47,897.92

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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.