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Finding the Fourth Proportional to 100,614.22, 138,838.02 and 60,320.50

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Solution

The fourth proportional to 100,614.22, 138,838.02 and 60,320.50 is: 83,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.22 : 138,838.02 = 60,320.50 : x
  2. Step 2: Convert to fraction form
    100,614.22/138,838.02 = 60,320.50/x
  3. Step 3: Cross multiply
    100,614.22x = 138,838.02 × 60,320.50
  4. Step 4: Simplify right side
    100,614.22x = 8,374,778,785.41
  5. Step 5: Solve for x
    x = 8,374,778,785.41/100,614.22
  6. Step 6: Final answer
    x = 83,236.53

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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.