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Finding the Fourth Proportional to 100,616.76, 138,820.81 and 60,315.81

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Solution

The fourth proportional to 100,616.76, 138,820.81 and 60,315.81 is: 83,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616.76 : 138,820.81 = 60,315.81 : x
  2. Step 2: Convert to fraction form
    100,616.76/138,820.81 = 60,315.81/x
  3. Step 3: Cross multiply
    100,616.76x = 138,820.81 × 60,315.81
  4. Step 4: Simplify right side
    100,616.76x = 8,373,090,382.67
  5. Step 5: Solve for x
    x = 8,373,090,382.67/100,616.76
  6. Step 6: Final answer
    x = 83,217.65

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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.