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Finding the Fourth Proportional to 131,510.70, 197,193.15 and 52,535.70

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Solution

The fourth proportional to 131,510.70, 197,193.15 and 52,535.70 is: 78,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,510.70 : 197,193.15 = 52,535.70 : x
  2. Step 2: Convert to fraction form
    131,510.70/197,193.15 = 52,535.70/x
  3. Step 3: Cross multiply
    131,510.70x = 197,193.15 × 52,535.70
  4. Step 4: Simplify right side
    131,510.70x = 10,359,680,170.46
  5. Step 5: Solve for x
    x = 10,359,680,170.46/131,510.70
  6. Step 6: Final answer
    x = 78,774.43

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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.