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Finding the Fourth Proportional to 198,432, 273,758.16 and 113,503.68

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Solution

The fourth proportional to 198,432, 273,758.16 and 113,503.68 is: 156,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432 : 273,758.16 = 113,503.68 : x
  2. Step 2: Convert to fraction form
    198,432/273,758.16 = 113,503.68/x
  3. Step 3: Cross multiply
    198,432x = 273,758.16 × 113,503.68
  4. Step 4: Simplify right side
    198,432x = 31,072,558,590.03
  5. Step 5: Solve for x
    x = 31,072,558,590.03/198,432
  6. Step 6: Final answer
    x = 156,590.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.