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Finding the Fourth Proportional to 149,887.60, 224,766.60 and 74,978.80

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Solution

The fourth proportional to 149,887.60, 224,766.60 and 74,978.80 is: 112,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,887.60 : 224,766.60 = 74,978.80 : x
  2. Step 2: Convert to fraction form
    149,887.60/224,766.60 = 74,978.80/x
  3. Step 3: Cross multiply
    149,887.60x = 224,766.60 × 74,978.80
  4. Step 4: Simplify right side
    149,887.60x = 16,852,729,948.08
  5. Step 5: Solve for x
    x = 16,852,729,948.08/149,887.60
  6. Step 6: Final answer
    x = 112,435.78

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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.