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Finding the Fourth Proportional to 131,503.84, 181,471.92 and 71,884

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Solution

The fourth proportional to 131,503.84, 181,471.92 and 71,884 is: 99,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,503.84 : 181,471.92 = 71,884 : x
  2. Step 2: Convert to fraction form
    131,503.84/181,471.92 = 71,884/x
  3. Step 3: Cross multiply
    131,503.84x = 181,471.92 × 71,884
  4. Step 4: Simplify right side
    131,503.84x = 13,044,927,497.28
  5. Step 5: Solve for x
    x = 13,044,927,497.28/131,503.84
  6. Step 6: Final answer
    x = 99,198.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.