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Finding the Fourth Proportional to 143,663.40, 215,423.01 and 83,711.25

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Solution

The fourth proportional to 143,663.40, 215,423.01 and 83,711.25 is: 125,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,663.40 : 215,423.01 = 83,711.25 : x
  2. Step 2: Convert to fraction form
    143,663.40/215,423.01 = 83,711.25/x
  3. Step 3: Cross multiply
    143,663.40x = 215,423.01 × 83,711.25
  4. Step 4: Simplify right side
    143,663.40x = 18,033,329,445.86
  5. Step 5: Solve for x
    x = 18,033,329,445.86/143,663.40
  6. Step 6: Final answer
    x = 125,524.87

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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.