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Finding the Fourth Proportional to 131,306, 181,202.28 and 71,690

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Solution

The fourth proportional to 131,306, 181,202.28 and 71,690 is: 98,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306 : 181,202.28 = 71,690 : x
  2. Step 2: Convert to fraction form
    131,306/181,202.28 = 71,690/x
  3. Step 3: Cross multiply
    131,306x = 181,202.28 × 71,690
  4. Step 4: Simplify right side
    131,306x = 12,990,391,453.20
  5. Step 5: Solve for x
    x = 12,990,391,453.20/131,306
  6. Step 6: Final answer
    x = 98,932.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.