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Finding the Fourth Proportional to 119,111.92, 178,405.44 and 66,390.64

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Solution

The fourth proportional to 119,111.92, 178,405.44 and 66,390.64 is: 99,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,111.92 : 178,405.44 = 66,390.64 : x
  2. Step 2: Convert to fraction form
    119,111.92/178,405.44 = 66,390.64/x
  3. Step 3: Cross multiply
    119,111.92x = 178,405.44 × 66,390.64
  4. Step 4: Simplify right side
    119,111.92x = 11,844,451,341.08
  5. Step 5: Solve for x
    x = 11,844,451,341.08/119,111.92
  6. Step 6: Final answer
    x = 99,439.68

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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.