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Finding the Fourth Proportional to 101,540.40, 152,080.20 and 64,215.60

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Solution

The fourth proportional to 101,540.40, 152,080.20 and 64,215.60 is: 96,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,540.40 : 152,080.20 = 64,215.60 : x
  2. Step 2: Convert to fraction form
    101,540.40/152,080.20 = 64,215.60/x
  3. Step 3: Cross multiply
    101,540.40x = 152,080.20 × 64,215.60
  4. Step 4: Simplify right side
    101,540.40x = 9,765,921,291.12
  5. Step 5: Solve for x
    x = 9,765,921,291.12/101,540.40
  6. Step 6: Final answer
    x = 96,177.69

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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.