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Finding the Fourth Proportional to 131,474.80, 197,070 and 52,502.20

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Solution

The fourth proportional to 131,474.80, 197,070 and 52,502.20 is: 78,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,474.80 : 197,070 = 52,502.20 : x
  2. Step 2: Convert to fraction form
    131,474.80/197,070 = 52,502.20/x
  3. Step 3: Cross multiply
    131,474.80x = 197,070 × 52,502.20
  4. Step 4: Simplify right side
    131,474.80x = 10,346,608,554
  5. Step 5: Solve for x
    x = 10,346,608,554/131,474.80
  6. Step 6: Final answer
    x = 78,696.51

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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.