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Finding the Fourth Proportional to 178,898.58, 268,084.34 and 78,966.90

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Solution

The fourth proportional to 178,898.58, 268,084.34 and 78,966.90 is: 118,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,898.58 : 268,084.34 = 78,966.90 : x
  2. Step 2: Convert to fraction form
    178,898.58/268,084.34 = 78,966.90/x
  3. Step 3: Cross multiply
    178,898.58x = 268,084.34 × 78,966.90
  4. Step 4: Simplify right side
    178,898.58x = 21,169,789,268.35
  5. Step 5: Solve for x
    x = 21,169,789,268.35/178,898.58
  6. Step 6: Final answer
    x = 118,334.03

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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.