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Finding the Fourth Proportional to 138,769.32, 208,153.98 and 79,478.40

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Solution

The fourth proportional to 138,769.32, 208,153.98 and 79,478.40 is: 119,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.32 : 208,153.98 = 79,478.40 : x
  2. Step 2: Convert to fraction form
    138,769.32/208,153.98 = 79,478.40/x
  3. Step 3: Cross multiply
    138,769.32x = 208,153.98 × 79,478.40
  4. Step 4: Simplify right side
    138,769.32x = 16,543,745,284.03
  5. Step 5: Solve for x
    x = 16,543,745,284.03/138,769.32
  6. Step 6: Final answer
    x = 119,217.60

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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.