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Finding the Fourth Proportional to 65,255.19, 90,065.12 and 42,597.87

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Solution

The fourth proportional to 65,255.19, 90,065.12 and 42,597.87 is: 58,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.19 : 90,065.12 = 42,597.87 : x
  2. Step 2: Convert to fraction form
    65,255.19/90,065.12 = 42,597.87/x
  3. Step 3: Cross multiply
    65,255.19x = 90,065.12 × 42,597.87
  4. Step 4: Simplify right side
    65,255.19x = 3,836,582,273.29
  5. Step 5: Solve for x
    x = 3,836,582,273.29/65,255.19
  6. Step 6: Final answer
    x = 58,793.52

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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.