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Finding the Fourth Proportional to 207,543.96, 311,082.66 and 102,436.74

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Solution

The fourth proportional to 207,543.96, 311,082.66 and 102,436.74 is: 153,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,543.96 : 311,082.66 = 102,436.74 : x
  2. Step 2: Convert to fraction form
    207,543.96/311,082.66 = 102,436.74/x
  3. Step 3: Cross multiply
    207,543.96x = 311,082.66 × 102,436.74
  4. Step 4: Simplify right side
    207,543.96x = 31,866,293,560.93
  5. Step 5: Solve for x
    x = 31,866,293,560.93/207,543.96
  6. Step 6: Final answer
    x = 153,539.97

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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.