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Finding the Fourth Proportional to 100,354.88, 138,489.59 and 57,913.41

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Solution

The fourth proportional to 100,354.88, 138,489.59 and 57,913.41 is: 79,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,354.88 : 138,489.59 = 57,913.41 : x
  2. Step 2: Convert to fraction form
    100,354.88/138,489.59 = 57,913.41/x
  3. Step 3: Cross multiply
    100,354.88x = 138,489.59 × 57,913.41
  4. Step 4: Simplify right side
    100,354.88x = 8,020,404,116.83
  5. Step 5: Solve for x
    x = 8,020,404,116.83/100,354.88
  6. Step 6: Final answer
    x = 79,920.42

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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.