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Finding the Fourth Proportional to 218,825.56, 328,239.78 and 78,585.40

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Solution

The fourth proportional to 218,825.56, 328,239.78 and 78,585.40 is: 117,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,825.56 : 328,239.78 = 78,585.40 : x
  2. Step 2: Convert to fraction form
    218,825.56/328,239.78 = 78,585.40/x
  3. Step 3: Cross multiply
    218,825.56x = 328,239.78 × 78,585.40
  4. Step 4: Simplify right side
    218,825.56x = 25,794,854,407.21
  5. Step 5: Solve for x
    x = 25,794,854,407.21/218,825.56
  6. Step 6: Final answer
    x = 117,878.62

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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.