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Finding the Fourth Proportional to 139,124.20, 208,532.70 and 76,839.40

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Solution

The fourth proportional to 139,124.20, 208,532.70 and 76,839.40 is: 115,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,124.20 : 208,532.70 = 76,839.40 : x
  2. Step 2: Convert to fraction form
    139,124.20/208,532.70 = 76,839.40/x
  3. Step 3: Cross multiply
    139,124.20x = 208,532.70 × 76,839.40
  4. Step 4: Simplify right side
    139,124.20x = 16,023,527,548.38
  5. Step 5: Solve for x
    x = 16,023,527,548.38/139,124.20
  6. Step 6: Final answer
    x = 115,174.27

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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.