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Finding the Fourth Proportional to 207,980.32, 311,149.65 and 157,524.72

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Solution

The fourth proportional to 207,980.32, 311,149.65 and 157,524.72 is: 235,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,980.32 : 311,149.65 = 157,524.72 : x
  2. Step 2: Convert to fraction form
    207,980.32/311,149.65 = 157,524.72/x
  3. Step 3: Cross multiply
    207,980.32x = 311,149.65 × 157,524.72
  4. Step 4: Simplify right side
    207,980.32x = 49,013,761,494.35
  5. Step 5: Solve for x
    x = 49,013,761,494.35/207,980.32
  6. Step 6: Final answer
    x = 235,665.38

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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.