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Finding the Fourth Proportional to 207,715.10, 311,572.65 and 128,572.70

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Solution

The fourth proportional to 207,715.10, 311,572.65 and 128,572.70 is: 192,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,715.10 : 311,572.65 = 128,572.70 : x
  2. Step 2: Convert to fraction form
    207,715.10/311,572.65 = 128,572.70/x
  3. Step 3: Cross multiply
    207,715.10x = 311,572.65 × 128,572.70
  4. Step 4: Simplify right side
    207,715.10x = 40,059,736,856.66
  5. Step 5: Solve for x
    x = 40,059,736,856.66/207,715.10
  6. Step 6: Final answer
    x = 192,859.05

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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.