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Finding the Fourth Proportional to 131,910.50, 182,069.70 and 75,354.68

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Solution

The fourth proportional to 131,910.50, 182,069.70 and 75,354.68 is: 104,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,910.50 : 182,069.70 = 75,354.68 : x
  2. Step 2: Convert to fraction form
    131,910.50/182,069.70 = 75,354.68/x
  3. Step 3: Cross multiply
    131,910.50x = 182,069.70 × 75,354.68
  4. Step 4: Simplify right side
    131,910.50x = 13,719,803,981.20
  5. Step 5: Solve for x
    x = 13,719,803,981.20/131,910.50
  6. Step 6: Final answer
    x = 104,008.43

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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.