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Finding the Fourth Proportional to 178,711.88, 268,009.50 and 78,868.04

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Solution

The fourth proportional to 178,711.88, 268,009.50 and 78,868.04 is: 118,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,711.88 : 268,009.50 = 78,868.04 : x
  2. Step 2: Convert to fraction form
    178,711.88/268,009.50 = 78,868.04/x
  3. Step 3: Cross multiply
    178,711.88x = 268,009.50 × 78,868.04
  4. Step 4: Simplify right side
    178,711.88x = 21,137,383,966.38
  5. Step 5: Solve for x
    x = 21,137,383,966.38/178,711.88
  6. Step 6: Final answer
    x = 118,276.32

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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.