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Finding the Fourth Proportional to 100,537.36, 138,743.18 and 54,597

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Solution

The fourth proportional to 100,537.36, 138,743.18 and 54,597 is: 75,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.36 : 138,743.18 = 54,597 : x
  2. Step 2: Convert to fraction form
    100,537.36/138,743.18 = 54,597/x
  3. Step 3: Cross multiply
    100,537.36x = 138,743.18 × 54,597
  4. Step 4: Simplify right side
    100,537.36x = 7,574,961,398.46
  5. Step 5: Solve for x
    x = 7,574,961,398.46/100,537.36
  6. Step 6: Final answer
    x = 75,344.74

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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.