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Finding the Fourth Proportional to 220,020.40, 329,965.80 and 86,856.40

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Solution

The fourth proportional to 220,020.40, 329,965.80 and 86,856.40 is: 130,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,020.40 : 329,965.80 = 86,856.40 : x
  2. Step 2: Convert to fraction form
    220,020.40/329,965.80 = 86,856.40/x
  3. Step 3: Cross multiply
    220,020.40x = 329,965.80 × 86,856.40
  4. Step 4: Simplify right side
    220,020.40x = 28,659,641,511.12
  5. Step 5: Solve for x
    x = 28,659,641,511.12/220,020.40
  6. Step 6: Final answer
    x = 130,259.02

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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.