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Finding the Fourth Proportional to 147,585, 203,667.10 and 80,517

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Solution

The fourth proportional to 147,585, 203,667.10 and 80,517 is: 111,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,585 : 203,667.10 = 80,517 : x
  2. Step 2: Convert to fraction form
    147,585/203,667.10 = 80,517/x
  3. Step 3: Cross multiply
    147,585x = 203,667.10 × 80,517
  4. Step 4: Simplify right side
    147,585x = 16,398,663,890.70
  5. Step 5: Solve for x
    x = 16,398,663,890.70/147,585
  6. Step 6: Final answer
    x = 111,113.35

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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.