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Finding the Fourth Proportional to 100,638, 138,845.04 and 60,364.80

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Solution

The fourth proportional to 100,638, 138,845.04 and 60,364.80 is: 83,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638 : 138,845.04 = 60,364.80 : x
  2. Step 2: Convert to fraction form
    100,638/138,845.04 = 60,364.80/x
  3. Step 3: Cross multiply
    100,638x = 138,845.04 × 60,364.80
  4. Step 4: Simplify right side
    100,638x = 8,381,353,070.59
  5. Step 5: Solve for x
    x = 8,381,353,070.59/100,638
  6. Step 6: Final answer
    x = 83,282.19

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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.