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Finding the Fourth Proportional to 159,132, 219,603.76 and 87,512.52

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Solution

The fourth proportional to 159,132, 219,603.76 and 87,512.52 is: 120,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,132 : 219,603.76 = 87,512.52 : x
  2. Step 2: Convert to fraction form
    159,132/219,603.76 = 87,512.52/x
  3. Step 3: Cross multiply
    159,132x = 219,603.76 × 87,512.52
  4. Step 4: Simplify right side
    159,132x = 19,218,078,439.08
  5. Step 5: Solve for x
    x = 19,218,078,439.08/159,132
  6. Step 6: Final answer
    x = 120,768.16

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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.