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Finding the Fourth Proportional to 218,915.22, 328,392.27 and 78,713.94

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Solution

The fourth proportional to 218,915.22, 328,392.27 and 78,713.94 is: 118,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,915.22 : 328,392.27 = 78,713.94 : x
  2. Step 2: Convert to fraction form
    218,915.22/328,392.27 = 78,713.94/x
  3. Step 3: Cross multiply
    218,915.22x = 328,392.27 × 78,713.94
  4. Step 4: Simplify right side
    218,915.22x = 25,849,049,437.24
  5. Step 5: Solve for x
    x = 25,849,049,437.24/218,915.22
  6. Step 6: Final answer
    x = 118,077.90

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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.