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Finding the Fourth Proportional to 119,147.60, 178,449.12 and 56,861.84

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Solution

The fourth proportional to 119,147.60, 178,449.12 and 56,861.84 is: 85,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,147.60 : 178,449.12 = 56,861.84 : x
  2. Step 2: Convert to fraction form
    119,147.60/178,449.12 = 56,861.84/x
  3. Step 3: Cross multiply
    119,147.60x = 178,449.12 × 56,861.84
  4. Step 4: Simplify right side
    119,147.60x = 10,146,945,309.58
  5. Step 5: Solve for x
    x = 10,146,945,309.58/119,147.60
  6. Step 6: Final answer
    x = 85,162.82

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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.