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Finding the Fourth Proportional to 207,551.10, 311,417.12 and 72,711.90

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Solution

The fourth proportional to 207,551.10, 311,417.12 and 72,711.90 is: 109,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,551.10 : 311,417.12 = 72,711.90 : x
  2. Step 2: Convert to fraction form
    207,551.10/311,417.12 = 72,711.90/x
  3. Step 3: Cross multiply
    207,551.10x = 311,417.12 × 72,711.90
  4. Step 4: Simplify right side
    207,551.10x = 22,643,730,124.17
  5. Step 5: Solve for x
    x = 22,643,730,124.17/207,551.10
  6. Step 6: Final answer
    x = 109,099.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.