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Finding the Fourth Proportional to 217,603.60, 326,339.74 and 84,454.16

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Solution

The fourth proportional to 217,603.60, 326,339.74 and 84,454.16 is: 126,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,603.60 : 326,339.74 = 84,454.16 : x
  2. Step 2: Convert to fraction form
    217,603.60/326,339.74 = 84,454.16/x
  3. Step 3: Cross multiply
    217,603.60x = 326,339.74 × 84,454.16
  4. Step 4: Simplify right side
    217,603.60x = 27,560,748,616.32
  5. Step 5: Solve for x
    x = 27,560,748,616.32/217,603.60
  6. Step 6: Final answer
    x = 126,655.76

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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.