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Finding the Fourth Proportional to 75,139.60, 103,681.80 and 41,605.52

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Solution

The fourth proportional to 75,139.60, 103,681.80 and 41,605.52 is: 57,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139.60 : 103,681.80 = 41,605.52 : x
  2. Step 2: Convert to fraction form
    75,139.60/103,681.80 = 41,605.52/x
  3. Step 3: Cross multiply
    75,139.60x = 103,681.80 × 41,605.52
  4. Step 4: Simplify right side
    75,139.60x = 4,313,735,203.54
  5. Step 5: Solve for x
    x = 4,313,735,203.54/75,139.60
  6. Step 6: Final answer
    x = 57,409.61

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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.