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Finding the Fourth Proportional to 231,130.68, 318,954.22 and 129,156.98

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Solution

The fourth proportional to 231,130.68, 318,954.22 and 129,156.98 is: 178,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,130.68 : 318,954.22 = 129,156.98 : x
  2. Step 2: Convert to fraction form
    231,130.68/318,954.22 = 129,156.98/x
  3. Step 3: Cross multiply
    231,130.68x = 318,954.22 × 129,156.98
  4. Step 4: Simplify right side
    231,130.68x = 41,195,162,218.68
  5. Step 5: Solve for x
    x = 41,195,162,218.68/231,130.68
  6. Step 6: Final answer
    x = 178,233.21

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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.