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Finding the Fourth Proportional to 75,033.12, 103,531.38 and 42,767.12

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Solution

The fourth proportional to 75,033.12, 103,531.38 and 42,767.12 is: 59,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,033.12 : 103,531.38 = 42,767.12 : x
  2. Step 2: Convert to fraction form
    75,033.12/103,531.38 = 42,767.12/x
  3. Step 3: Cross multiply
    75,033.12x = 103,531.38 × 42,767.12
  4. Step 4: Simplify right side
    75,033.12x = 4,427,738,434.57
  5. Step 5: Solve for x
    x = 4,427,738,434.57/75,033.12
  6. Step 6: Final answer
    x = 59,010.45

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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.