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Finding the Fourth Proportional to 149,382.54, 206,153.10 and 81,405.10

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Solution

The fourth proportional to 149,382.54, 206,153.10 and 81,405.10 is: 112,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,382.54 : 206,153.10 = 81,405.10 : x
  2. Step 2: Convert to fraction form
    149,382.54/206,153.10 = 81,405.10/x
  3. Step 3: Cross multiply
    149,382.54x = 206,153.10 × 81,405.10
  4. Step 4: Simplify right side
    149,382.54x = 16,781,913,720.81
  5. Step 5: Solve for x
    x = 16,781,913,720.81/149,382.54
  6. Step 6: Final answer
    x = 112,341.87

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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.