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Finding the Fourth Proportional to 65,478.85, 90,358.41 and 40,027.84

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Solution

The fourth proportional to 65,478.85, 90,358.41 and 40,027.84 is: 55,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.85 : 90,358.41 = 40,027.84 : x
  2. Step 2: Convert to fraction form
    65,478.85/90,358.41 = 40,027.84/x
  3. Step 3: Cross multiply
    65,478.85x = 90,358.41 × 40,027.84
  4. Step 4: Simplify right side
    65,478.85x = 3,616,851,978.13
  5. Step 5: Solve for x
    x = 3,616,851,978.13/65,478.85
  6. Step 6: Final answer
    x = 55,236.95

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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.