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Finding the Fourth Proportional to 132,475.76, 198,713.63 and 77,032.88

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Solution

The fourth proportional to 132,475.76, 198,713.63 and 77,032.88 is: 115,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,475.76 : 198,713.63 = 77,032.88 : x
  2. Step 2: Convert to fraction form
    132,475.76/198,713.63 = 77,032.88/x
  3. Step 3: Cross multiply
    132,475.76x = 198,713.63 × 77,032.88
  4. Step 4: Simplify right side
    132,475.76x = 15,307,482,413.17
  5. Step 5: Solve for x
    x = 15,307,482,413.17/132,475.76
  6. Step 6: Final answer
    x = 115,549.31

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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.