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Finding the Fourth Proportional to 149,543.17, 206,363.87 and 82,475.17

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Solution

The fourth proportional to 149,543.17, 206,363.87 and 82,475.17 is: 113,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543.17 : 206,363.87 = 82,475.17 : x
  2. Step 2: Convert to fraction form
    149,543.17/206,363.87 = 82,475.17/x
  3. Step 3: Cross multiply
    149,543.17x = 206,363.87 × 82,475.17
  4. Step 4: Simplify right side
    149,543.17x = 17,019,894,641.10
  5. Step 5: Solve for x
    x = 17,019,894,641.10/149,543.17
  6. Step 6: Final answer
    x = 113,812.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.