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Finding the Fourth Proportional to 160,201.20, 240,302 and 65,431.38

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Solution

The fourth proportional to 160,201.20, 240,302 and 65,431.38 is: 98,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,201.20 : 240,302 = 65,431.38 : x
  2. Step 2: Convert to fraction form
    160,201.20/240,302 = 65,431.38/x
  3. Step 3: Cross multiply
    160,201.20x = 240,302 × 65,431.38
  4. Step 4: Simplify right side
    160,201.20x = 15,723,291,476.76
  5. Step 5: Solve for x
    x = 15,723,291,476.76/160,201.20
  6. Step 6: Final answer
    x = 98,147.15

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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.