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Finding the Fourth Proportional to 153,012.40, 229,517.40 and 90,638

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Solution

The fourth proportional to 153,012.40, 229,517.40 and 90,638 is: 135,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,012.40 : 229,517.40 = 90,638 : x
  2. Step 2: Convert to fraction form
    153,012.40/229,517.40 = 90,638/x
  3. Step 3: Cross multiply
    153,012.40x = 229,517.40 × 90,638
  4. Step 4: Simplify right side
    153,012.40x = 20,802,998,101.20
  5. Step 5: Solve for x
    x = 20,802,998,101.20/153,012.40
  6. Step 6: Final answer
    x = 135,956.29

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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.