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Finding the Fourth Proportional to 160,138.76, 240,293.79 and 103,965.66

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Solution

The fourth proportional to 160,138.76, 240,293.79 and 103,965.66 is: 156,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,138.76 : 240,293.79 = 103,965.66 : x
  2. Step 2: Convert to fraction form
    160,138.76/240,293.79 = 103,965.66/x
  3. Step 3: Cross multiply
    160,138.76x = 240,293.79 × 103,965.66
  4. Step 4: Simplify right side
    160,138.76x = 24,982,302,471.25
  5. Step 5: Solve for x
    x = 24,982,302,471.25/160,138.76
  6. Step 6: Final answer
    x = 156,004.10

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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.