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Finding the Fourth Proportional to 185,387.67, 278,081.64 and 45,145.08

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Solution

The fourth proportional to 185,387.67, 278,081.64 and 45,145.08 is: 67,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,387.67 : 278,081.64 = 45,145.08 : x
  2. Step 2: Convert to fraction form
    185,387.67/278,081.64 = 45,145.08/x
  3. Step 3: Cross multiply
    185,387.67x = 278,081.64 × 45,145.08
  4. Step 4: Simplify right side
    185,387.67x = 12,554,017,884.33
  5. Step 5: Solve for x
    x = 12,554,017,884.33/185,387.67
  6. Step 6: Final answer
    x = 67,717.65

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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.