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Finding the Fourth Proportional to 101,580.20, 152,024.70 and 89,138.60

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Solution

The fourth proportional to 101,580.20, 152,024.70 and 89,138.60 is: 133,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,580.20 : 152,024.70 = 89,138.60 : x
  2. Step 2: Convert to fraction form
    101,580.20/152,024.70 = 89,138.60/x
  3. Step 3: Cross multiply
    101,580.20x = 152,024.70 × 89,138.60
  4. Step 4: Simplify right side
    101,580.20x = 13,551,268,923.42
  5. Step 5: Solve for x
    x = 13,551,268,923.42/101,580.20
  6. Step 6: Final answer
    x = 133,404.63

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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.