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Finding the Fourth Proportional to 185,872.64, 278,814.42 and 45,631.26

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Solution

The fourth proportional to 185,872.64, 278,814.42 and 45,631.26 is: 68,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,872.64 : 278,814.42 = 45,631.26 : x
  2. Step 2: Convert to fraction form
    185,872.64/278,814.42 = 45,631.26/x
  3. Step 3: Cross multiply
    185,872.64x = 278,814.42 × 45,631.26
  4. Step 4: Simplify right side
    185,872.64x = 12,722,653,290.77
  5. Step 5: Solve for x
    x = 12,722,653,290.77/185,872.64
  6. Step 6: Final answer
    x = 68,448.23

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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.