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Finding the Fourth Proportional to 119,146.72, 178,711.56 and 69,195.64

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Solution

The fourth proportional to 119,146.72, 178,711.56 and 69,195.64 is: 103,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,146.72 : 178,711.56 = 69,195.64 : x
  2. Step 2: Convert to fraction form
    119,146.72/178,711.56 = 69,195.64/x
  3. Step 3: Cross multiply
    119,146.72x = 178,711.56 × 69,195.64
  4. Step 4: Simplify right side
    119,146.72x = 12,366,060,769.60
  5. Step 5: Solve for x
    x = 12,366,060,769.60/119,146.72
  6. Step 6: Final answer
    x = 103,788.51

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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.