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Finding the Fourth Proportional to 172,877.42, 238,549.11 and 96,377.78

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Solution

The fourth proportional to 172,877.42, 238,549.11 and 96,377.78 is: 132,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,877.42 : 238,549.11 = 96,377.78 : x
  2. Step 2: Convert to fraction form
    172,877.42/238,549.11 = 96,377.78/x
  3. Step 3: Cross multiply
    172,877.42x = 238,549.11 × 96,377.78
  4. Step 4: Simplify right side
    172,877.42x = 22,990,833,642.78
  5. Step 5: Solve for x
    x = 22,990,833,642.78/172,877.42
  6. Step 6: Final answer
    x = 132,989.22

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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.