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Finding the Fourth Proportional to 219,830.49, 329,524.20 and 86,659.20

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Solution

The fourth proportional to 219,830.49, 329,524.20 and 86,659.20 is: 129,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.49 : 329,524.20 = 86,659.20 : x
  2. Step 2: Convert to fraction form
    219,830.49/329,524.20 = 86,659.20/x
  3. Step 3: Cross multiply
    219,830.49x = 329,524.20 × 86,659.20
  4. Step 4: Simplify right side
    219,830.49x = 28,556,303,552.64
  5. Step 5: Solve for x
    x = 28,556,303,552.64/219,830.49
  6. Step 6: Final answer
    x = 129,901.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.