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Finding the Fourth Proportional to 74,540.64, 111,862.80 and 48,180

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Solution

The fourth proportional to 74,540.64, 111,862.80 and 48,180 is: 72,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,540.64 : 111,862.80 = 48,180 : x
  2. Step 2: Convert to fraction form
    74,540.64/111,862.80 = 48,180/x
  3. Step 3: Cross multiply
    74,540.64x = 111,862.80 × 48,180
  4. Step 4: Simplify right side
    74,540.64x = 5,389,549,704
  5. Step 5: Solve for x
    x = 5,389,549,704/74,540.64
  6. Step 6: Final answer
    x = 72,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.