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Finding the Fourth Proportional to 119,006.87, 178,422.81 and 56,721.11

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Solution

The fourth proportional to 119,006.87, 178,422.81 and 56,721.11 is: 85,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,006.87 : 178,422.81 = 56,721.11 : x
  2. Step 2: Convert to fraction form
    119,006.87/178,422.81 = 56,721.11/x
  3. Step 3: Cross multiply
    119,006.87x = 178,422.81 × 56,721.11
  4. Step 4: Simplify right side
    119,006.87x = 10,120,338,940.41
  5. Step 5: Solve for x
    x = 10,120,338,940.41/119,006.87
  6. Step 6: Final answer
    x = 85,039.96

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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.