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Finding the Fourth Proportional to 150,523.40, 207,731.90 and 99,446.53

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Solution

The fourth proportional to 150,523.40, 207,731.90 and 99,446.53 is: 137,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,523.40 : 207,731.90 = 99,446.53 : x
  2. Step 2: Convert to fraction form
    150,523.40/207,731.90 = 99,446.53/x
  3. Step 3: Cross multiply
    150,523.40x = 207,731.90 × 99,446.53
  4. Step 4: Simplify right side
    150,523.40x = 20,658,216,625.31
  5. Step 5: Solve for x
    x = 20,658,216,625.31/150,523.40
  6. Step 6: Final answer
    x = 137,242.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.