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Finding the Fourth Proportional to 219,765.78, 329,426.35 and 86,594.26

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Solution

The fourth proportional to 219,765.78, 329,426.35 and 86,594.26 is: 129,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,765.78 : 329,426.35 = 86,594.26 : x
  2. Step 2: Convert to fraction form
    219,765.78/329,426.35 = 86,594.26/x
  3. Step 3: Cross multiply
    219,765.78x = 329,426.35 × 86,594.26
  4. Step 4: Simplify right side
    219,765.78x = 28,526,431,002.75
  5. Step 5: Solve for x
    x = 28,526,431,002.75/219,765.78
  6. Step 6: Final answer
    x = 129,803.79

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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.