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Finding the Fourth Proportional to 178,779.66, 268,169.22 and 45,659.88

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Solution

The fourth proportional to 178,779.66, 268,169.22 and 45,659.88 is: 68,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,779.66 : 268,169.22 = 45,659.88 : x
  2. Step 2: Convert to fraction form
    178,779.66/268,169.22 = 45,659.88/x
  3. Step 3: Cross multiply
    178,779.66x = 268,169.22 × 45,659.88
  4. Step 4: Simplify right side
    178,779.66x = 12,244,574,404.89
  5. Step 5: Solve for x
    x = 12,244,574,404.89/178,779.66
  6. Step 6: Final answer
    x = 68,489.75

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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.