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Finding the Fourth Proportional to 159,078, 219,347.28 and 101,641.44

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Solution

The fourth proportional to 159,078, 219,347.28 and 101,641.44 is: 140,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,078 : 219,347.28 = 101,641.44 : x
  2. Step 2: Convert to fraction form
    159,078/219,347.28 = 101,641.44/x
  3. Step 3: Cross multiply
    159,078x = 219,347.28 × 101,641.44
  4. Step 4: Simplify right side
    159,078x = 22,294,773,399.28
  5. Step 5: Solve for x
    x = 22,294,773,399.28/159,078
  6. Step 6: Final answer
    x = 140,149.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.