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Finding the Fourth Proportional to 75,130.92, 103,677.44 and 41,138.78

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Solution

The fourth proportional to 75,130.92, 103,677.44 and 41,138.78 is: 56,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130.92 : 103,677.44 = 41,138.78 : x
  2. Step 2: Convert to fraction form
    75,130.92/103,677.44 = 41,138.78/x
  3. Step 3: Cross multiply
    75,130.92x = 103,677.44 × 41,138.78
  4. Step 4: Simplify right side
    75,130.92x = 4,265,163,395.12
  5. Step 5: Solve for x
    x = 4,265,163,395.12/75,130.92
  6. Step 6: Final answer
    x = 56,769.75

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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.