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Finding the Fourth Proportional to 131,102.50, 180,921.45 and 71,486.50

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Solution

The fourth proportional to 131,102.50, 180,921.45 and 71,486.50 is: 98,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,102.50 : 180,921.45 = 71,486.50 : x
  2. Step 2: Convert to fraction form
    131,102.50/180,921.45 = 71,486.50/x
  3. Step 3: Cross multiply
    131,102.50x = 180,921.45 × 71,486.50
  4. Step 4: Simplify right side
    131,102.50x = 12,933,441,235.43
  5. Step 5: Solve for x
    x = 12,933,441,235.43/131,102.50
  6. Step 6: Final answer
    x = 98,651.37

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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.