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Finding the Fourth Proportional to 132,642.40, 198,998.80 and 57,730.40

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Solution

The fourth proportional to 132,642.40, 198,998.80 and 57,730.40 is: 86,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,642.40 : 198,998.80 = 57,730.40 : x
  2. Step 2: Convert to fraction form
    132,642.40/198,998.80 = 57,730.40/x
  3. Step 3: Cross multiply
    132,642.40x = 198,998.80 × 57,730.40
  4. Step 4: Simplify right side
    132,642.40x = 11,488,280,323.52
  5. Step 5: Solve for x
    x = 11,488,280,323.52/132,642.40
  6. Step 6: Final answer
    x = 86,610.92

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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.