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Finding the Fourth Proportional to 149,487.68, 206,290.50 and 81,507.44

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Solution

The fourth proportional to 149,487.68, 206,290.50 and 81,507.44 is: 112,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,487.68 : 206,290.50 = 81,507.44 : x
  2. Step 2: Convert to fraction form
    149,487.68/206,290.50 = 81,507.44/x
  3. Step 3: Cross multiply
    149,487.68x = 206,290.50 × 81,507.44
  4. Step 4: Simplify right side
    149,487.68x = 16,814,210,551.32
  5. Step 5: Solve for x
    x = 16,814,210,551.32/149,487.68
  6. Step 6: Final answer
    x = 112,478.90

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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.