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Finding the Fourth Proportional to 119,233.76, 178,739.47 and 40,292.78

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Solution

The fourth proportional to 119,233.76, 178,739.47 and 40,292.78 is: 60,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,233.76 : 178,739.47 = 40,292.78 : x
  2. Step 2: Convert to fraction form
    119,233.76/178,739.47 = 40,292.78/x
  3. Step 3: Cross multiply
    119,233.76x = 178,739.47 × 40,292.78
  4. Step 4: Simplify right side
    119,233.76x = 7,201,910,488.14
  5. Step 5: Solve for x
    x = 7,201,910,488.14/119,233.76
  6. Step 6: Final answer
    x = 60,401.60

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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.