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Finding the Fourth Proportional to 219,543.85, 329,315.78 and 86,351.32

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Solution

The fourth proportional to 219,543.85, 329,315.78 and 86,351.32 is: 129,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,543.85 : 329,315.78 = 86,351.32 : x
  2. Step 2: Convert to fraction form
    219,543.85/329,315.78 = 86,351.32/x
  3. Step 3: Cross multiply
    219,543.85x = 329,315.78 × 86,351.32
  4. Step 4: Simplify right side
    219,543.85x = 28,436,852,299.83
  5. Step 5: Solve for x
    x = 28,436,852,299.83/219,543.85
  6. Step 6: Final answer
    x = 129,526.98

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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.