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Finding the Fourth Proportional to 142,407, 213,470.78 and 79,257.38

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Solution

The fourth proportional to 142,407, 213,470.78 and 79,257.38 is: 118,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407 : 213,470.78 = 79,257.38 : x
  2. Step 2: Convert to fraction form
    142,407/213,470.78 = 79,257.38/x
  3. Step 3: Cross multiply
    142,407x = 213,470.78 × 79,257.38
  4. Step 4: Simplify right side
    142,407x = 16,919,133,265.72
  5. Step 5: Solve for x
    x = 16,919,133,265.72/142,407
  6. Step 6: Final answer
    x = 118,808.30

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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.