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Finding the Fourth Proportional to 149,061.60, 205,708.39 and 81,082.21

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Solution

The fourth proportional to 149,061.60, 205,708.39 and 81,082.21 is: 111,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,061.60 : 205,708.39 = 81,082.21 : x
  2. Step 2: Convert to fraction form
    149,061.60/205,708.39 = 81,082.21/x
  3. Step 3: Cross multiply
    149,061.60x = 205,708.39 × 81,082.21
  4. Step 4: Simplify right side
    149,061.60x = 16,679,290,423.00
  5. Step 5: Solve for x
    x = 16,679,290,423.00/149,061.60
  6. Step 6: Final answer
    x = 111,895.29

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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.