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Finding the Fourth Proportional to 132,338.16, 198,518.16 and 42,394

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Solution

The fourth proportional to 132,338.16, 198,518.16 and 42,394 is: 63,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,338.16 : 198,518.16 = 42,394 : x
  2. Step 2: Convert to fraction form
    132,338.16/198,518.16 = 42,394/x
  3. Step 3: Cross multiply
    132,338.16x = 198,518.16 × 42,394
  4. Step 4: Simplify right side
    132,338.16x = 8,415,978,875.04
  5. Step 5: Solve for x
    x = 8,415,978,875.04/132,338.16
  6. Step 6: Final answer
    x = 63,594.50

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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.