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Finding the Fourth Proportional to 135,459.20, 203,195.20 and 42,030.40

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Solution

The fourth proportional to 135,459.20, 203,195.20 and 42,030.40 is: 63,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,459.20 : 203,195.20 = 42,030.40 : x
  2. Step 2: Convert to fraction form
    135,459.20/203,195.20 = 42,030.40/x
  3. Step 3: Cross multiply
    135,459.20x = 203,195.20 × 42,030.40
  4. Step 4: Simplify right side
    135,459.20x = 8,540,375,534.08
  5. Step 5: Solve for x
    x = 8,540,375,534.08/135,459.20
  6. Step 6: Final answer
    x = 63,047.59

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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.