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Finding the Fourth Proportional to 132,476.88, 198,715.32 and 77,034

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Solution

The fourth proportional to 132,476.88, 198,715.32 and 77,034 is: 115,551

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,476.88 : 198,715.32 = 77,034 : x
  2. Step 2: Convert to fraction form
    132,476.88/198,715.32 = 77,034/x
  3. Step 3: Cross multiply
    132,476.88x = 198,715.32 × 77,034
  4. Step 4: Simplify right side
    132,476.88x = 15,307,835,960.88
  5. Step 5: Solve for x
    x = 15,307,835,960.88/132,476.88
  6. Step 6: Final answer
    x = 115,551

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.