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Finding the Fourth Proportional to 131,132.78, 180,866.36 and 90,309.87

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Solution

The fourth proportional to 131,132.78, 180,866.36 and 90,309.87 is: 124,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,132.78 : 180,866.36 = 90,309.87 : x
  2. Step 2: Convert to fraction form
    131,132.78/180,866.36 = 90,309.87/x
  3. Step 3: Cross multiply
    131,132.78x = 180,866.36 × 90,309.87
  4. Step 4: Simplify right side
    131,132.78x = 16,334,017,458.97
  5. Step 5: Solve for x
    x = 16,334,017,458.97/131,132.78
  6. Step 6: Final answer
    x = 124,560.90

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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.