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Finding the Fourth Proportional to 75,254, 103,854.12 and 41,720

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Solution

The fourth proportional to 75,254, 103,854.12 and 41,720 is: 57,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,254 : 103,854.12 = 41,720 : x
  2. Step 2: Convert to fraction form
    75,254/103,854.12 = 41,720/x
  3. Step 3: Cross multiply
    75,254x = 103,854.12 × 41,720
  4. Step 4: Simplify right side
    75,254x = 4,332,793,886.40
  5. Step 5: Solve for x
    x = 4,332,793,886.40/75,254
  6. Step 6: Final answer
    x = 57,575.60

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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.