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Finding the Fourth Proportional to 207,086.42, 310,432.80 and 131,995.78

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Solution

The fourth proportional to 207,086.42, 310,432.80 and 131,995.78 is: 197,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,086.42 : 310,432.80 = 131,995.78 : x
  2. Step 2: Convert to fraction form
    207,086.42/310,432.80 = 131,995.78/x
  3. Step 3: Cross multiply
    207,086.42x = 310,432.80 × 131,995.78
  4. Step 4: Simplify right side
    207,086.42x = 40,975,819,292.49
  5. Step 5: Solve for x
    x = 40,975,819,292.49/207,086.42
  6. Step 6: Final answer
    x = 197,868.21

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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.