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Finding the Fourth Proportional to 65,253.60, 90,041.76 and 41,381.28

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Solution

The fourth proportional to 65,253.60, 90,041.76 and 41,381.28 is: 57,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.60 : 90,041.76 = 41,381.28 : x
  2. Step 2: Convert to fraction form
    65,253.60/90,041.76 = 41,381.28/x
  3. Step 3: Cross multiply
    65,253.60x = 90,041.76 × 41,381.28
  4. Step 4: Simplify right side
    65,253.60x = 3,726,043,282.25
  5. Step 5: Solve for x
    x = 3,726,043,282.25/65,253.60
  6. Step 6: Final answer
    x = 57,100.96

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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.