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Finding the Fourth Proportional to 100,674.15, 138,929.91 and 55,354.95

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Solution

The fourth proportional to 100,674.15, 138,929.91 and 55,354.95 is: 76,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674.15 : 138,929.91 = 55,354.95 : x
  2. Step 2: Convert to fraction form
    100,674.15/138,929.91 = 55,354.95/x
  3. Step 3: Cross multiply
    100,674.15x = 138,929.91 × 55,354.95
  4. Step 4: Simplify right side
    100,674.15x = 7,690,458,221.55
  5. Step 5: Solve for x
    x = 7,690,458,221.55/100,674.15
  6. Step 6: Final answer
    x = 76,389.60

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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.