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Finding the Fourth Proportional to 198,117.52, 297,172.88 and 79,785.84

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Solution

The fourth proportional to 198,117.52, 297,172.88 and 79,785.84 is: 119,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,117.52 : 297,172.88 = 79,785.84 : x
  2. Step 2: Convert to fraction form
    198,117.52/297,172.88 = 79,785.84/x
  3. Step 3: Cross multiply
    198,117.52x = 297,172.88 × 79,785.84
  4. Step 4: Simplify right side
    198,117.52x = 23,710,187,856.02
  5. Step 5: Solve for x
    x = 23,710,187,856.02/198,117.52
  6. Step 6: Final answer
    x = 119,677.39

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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.