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Finding the Fourth Proportional to 218,955.30, 328,442.67 and 85,823.70

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Solution

The fourth proportional to 218,955.30, 328,442.67 and 85,823.70 is: 128,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,955.30 : 328,442.67 = 85,823.70 : x
  2. Step 2: Convert to fraction form
    218,955.30/328,442.67 = 85,823.70/x
  3. Step 3: Cross multiply
    218,955.30x = 328,442.67 × 85,823.70
  4. Step 4: Simplify right side
    218,955.30x = 28,188,165,177.28
  5. Step 5: Solve for x
    x = 28,188,165,177.28/218,955.30
  6. Step 6: Final answer
    x = 128,739.36

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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.