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Finding the Fourth Proportional to 149,062.40, 205,710.72 and 81,084.32

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Solution

The fourth proportional to 149,062.40, 205,710.72 and 81,084.32 is: 111,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,062.40 : 205,710.72 = 81,084.32 : x
  2. Step 2: Convert to fraction form
    149,062.40/205,710.72 = 81,084.32/x
  3. Step 3: Cross multiply
    149,062.40x = 205,710.72 × 81,084.32
  4. Step 4: Simplify right side
    149,062.40x = 16,679,913,847.91
  5. Step 5: Solve for x
    x = 16,679,913,847.91/149,062.40
  6. Step 6: Final answer
    x = 111,898.87

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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.