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Finding the Fourth Proportional to 231,519.70, 347,085.15 and 120,711.70

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Solution

The fourth proportional to 231,519.70, 347,085.15 and 120,711.70 is: 180,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,519.70 : 347,085.15 = 120,711.70 : x
  2. Step 2: Convert to fraction form
    231,519.70/347,085.15 = 120,711.70/x
  3. Step 3: Cross multiply
    231,519.70x = 347,085.15 × 120,711.70
  4. Step 4: Simplify right side
    231,519.70x = 41,897,238,501.26
  5. Step 5: Solve for x
    x = 41,897,238,501.26/231,519.70
  6. Step 6: Final answer
    x = 180,966.19

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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.