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Finding the Fourth Proportional to 100,452.51, 138,630.69 and 66,401.93

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Solution

The fourth proportional to 100,452.51, 138,630.69 and 66,401.93 is: 91,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452.51 : 138,630.69 = 66,401.93 : x
  2. Step 2: Convert to fraction form
    100,452.51/138,630.69 = 66,401.93/x
  3. Step 3: Cross multiply
    100,452.51x = 138,630.69 × 66,401.93
  4. Step 4: Simplify right side
    100,452.51x = 9,205,345,719.81
  5. Step 5: Solve for x
    x = 9,205,345,719.81/100,452.51
  6. Step 6: Final answer
    x = 91,638.78

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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.