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Finding the Fourth Proportional to 144,427.60, 216,769.40 and 85,189.20

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Solution

The fourth proportional to 144,427.60, 216,769.40 and 85,189.20 is: 127,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,427.60 : 216,769.40 = 85,189.20 : x
  2. Step 2: Convert to fraction form
    144,427.60/216,769.40 = 85,189.20/x
  3. Step 3: Cross multiply
    144,427.60x = 216,769.40 × 85,189.20
  4. Step 4: Simplify right side
    144,427.60x = 18,466,411,770.48
  5. Step 5: Solve for x
    x = 18,466,411,770.48/144,427.60
  6. Step 6: Final answer
    x = 127,859.30

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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.