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Finding the Fourth Proportional to 219,188.32, 328,704.72 and 78,909.28

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Solution

The fourth proportional to 219,188.32, 328,704.72 and 78,909.28 is: 118,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,188.32 : 328,704.72 = 78,909.28 : x
  2. Step 2: Convert to fraction form
    219,188.32/328,704.72 = 78,909.28/x
  3. Step 3: Cross multiply
    219,188.32x = 328,704.72 × 78,909.28
  4. Step 4: Simplify right side
    219,188.32x = 25,937,852,787.80
  5. Step 5: Solve for x
    x = 25,937,852,787.80/219,188.32
  6. Step 6: Final answer
    x = 118,335.93

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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.