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Finding the Fourth Proportional to 119,113.80, 178,665.72 and 30,369.48

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Solution

The fourth proportional to 119,113.80, 178,665.72 and 30,369.48 is: 45,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,113.80 : 178,665.72 = 30,369.48 : x
  2. Step 2: Convert to fraction form
    119,113.80/178,665.72 = 30,369.48/x
  3. Step 3: Cross multiply
    119,113.80x = 178,665.72 × 30,369.48
  4. Step 4: Simplify right side
    119,113.80x = 5,425,985,010.23
  5. Step 5: Solve for x
    x = 5,425,985,010.23/119,113.80
  6. Step 6: Final answer
    x = 45,552.95

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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.