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Finding the Fourth Proportional to 133,989.58, 200,721.66 and 77,711.46

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Solution

The fourth proportional to 133,989.58, 200,721.66 and 77,711.46 is: 116,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,989.58 : 200,721.66 = 77,711.46 : x
  2. Step 2: Convert to fraction form
    133,989.58/200,721.66 = 77,711.46/x
  3. Step 3: Cross multiply
    133,989.58x = 200,721.66 × 77,711.46
  4. Step 4: Simplify right side
    133,989.58x = 15,598,373,252.22
  5. Step 5: Solve for x
    x = 15,598,373,252.22/133,989.58
  6. Step 6: Final answer
    x = 116,414.82

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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.