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Finding the Fourth Proportional to 119,167.28, 178,750.76 and 30,420.78

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Solution

The fourth proportional to 119,167.28, 178,750.76 and 30,420.78 is: 45,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,167.28 : 178,750.76 = 30,420.78 : x
  2. Step 2: Convert to fraction form
    119,167.28/178,750.76 = 30,420.78/x
  3. Step 3: Cross multiply
    119,167.28x = 178,750.76 × 30,420.78
  4. Step 4: Simplify right side
    119,167.28x = 5,437,737,544.79
  5. Step 5: Solve for x
    x = 5,437,737,544.79/119,167.28
  6. Step 6: Final answer
    x = 45,631.13

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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.