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Finding the Fourth Proportional to 185,378.94, 278,063.01 and 45,135.54

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Solution

The fourth proportional to 185,378.94, 278,063.01 and 45,135.54 is: 67,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,378.94 : 278,063.01 = 45,135.54 : x
  2. Step 2: Convert to fraction form
    185,378.94/278,063.01 = 45,135.54/x
  3. Step 3: Cross multiply
    185,378.94x = 278,063.01 × 45,135.54
  4. Step 4: Simplify right side
    185,378.94x = 12,550,524,110.38
  5. Step 5: Solve for x
    x = 12,550,524,110.38/185,378.94
  6. Step 6: Final answer
    x = 67,702.00

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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.