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Finding the Fourth Proportional to 219,876.96, 329,594.16 and 86,851.56

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Solution

The fourth proportional to 219,876.96, 329,594.16 and 86,851.56 is: 130,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,876.96 : 329,594.16 = 86,851.56 : x
  2. Step 2: Convert to fraction form
    219,876.96/329,594.16 = 86,851.56/x
  3. Step 3: Cross multiply
    219,876.96x = 329,594.16 × 86,851.56
  4. Step 4: Simplify right side
    219,876.96x = 28,625,766,962.89
  5. Step 5: Solve for x
    x = 28,625,766,962.89/219,876.96
  6. Step 6: Final answer
    x = 130,189.93

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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.