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Finding the Fourth Proportional to 185,405, 278,116.14 and 54,077

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Solution

The fourth proportional to 185,405, 278,116.14 and 54,077 is: 81,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,405 : 278,116.14 = 54,077 : x
  2. Step 2: Convert to fraction form
    185,405/278,116.14 = 54,077/x
  3. Step 3: Cross multiply
    185,405x = 278,116.14 × 54,077
  4. Step 4: Simplify right side
    185,405x = 15,039,686,502.78
  5. Step 5: Solve for x
    x = 15,039,686,502.78/185,405
  6. Step 6: Final answer
    x = 81,118.02

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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.