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Finding the Fourth Proportional to 100,062.62, 138,085.30 and 54,741.91

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Solution

The fourth proportional to 100,062.62, 138,085.30 and 54,741.91 is: 75,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062.62 : 138,085.30 = 54,741.91 : x
  2. Step 2: Convert to fraction form
    100,062.62/138,085.30 = 54,741.91/x
  3. Step 3: Cross multiply
    100,062.62x = 138,085.30 × 54,741.91
  4. Step 4: Simplify right side
    100,062.62x = 7,559,052,582.85
  5. Step 5: Solve for x
    x = 7,559,052,582.85/100,062.62
  6. Step 6: Final answer
    x = 75,543.22

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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.