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Finding the Fourth Proportional to 254,041.38, 381,024.98 and 74,078.45

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Solution

The fourth proportional to 254,041.38, 381,024.98 and 74,078.45 is: 111,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,041.38 : 381,024.98 = 74,078.45 : x
  2. Step 2: Convert to fraction form
    254,041.38/381,024.98 = 74,078.45/x
  3. Step 3: Cross multiply
    254,041.38x = 381,024.98 × 74,078.45
  4. Step 4: Simplify right side
    254,041.38x = 28,225,738,606.73
  5. Step 5: Solve for x
    x = 28,225,738,606.73/254,041.38
  6. Step 6: Final answer
    x = 111,106.85

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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.