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Finding the Fourth Proportional to 75,077.78, 103,610.49 and 41,543.78

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Solution

The fourth proportional to 75,077.78, 103,610.49 and 41,543.78 is: 57,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,077.78 : 103,610.49 = 41,543.78 : x
  2. Step 2: Convert to fraction form
    75,077.78/103,610.49 = 41,543.78/x
  3. Step 3: Cross multiply
    75,077.78x = 103,610.49 × 41,543.78
  4. Step 4: Simplify right side
    75,077.78x = 4,304,371,402.25
  5. Step 5: Solve for x
    x = 4,304,371,402.25/75,077.78
  6. Step 6: Final answer
    x = 57,332.16

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1.5x scale

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.