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Finding the Fourth Proportional to 185,652.64, 278,240.64 and 84,376.72

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Solution

The fourth proportional to 185,652.64, 278,240.64 and 84,376.72 is: 126,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,652.64 : 278,240.64 = 84,376.72 : x
  2. Step 2: Convert to fraction form
    185,652.64/278,240.64 = 84,376.72/x
  3. Step 3: Cross multiply
    185,652.64x = 278,240.64 × 84,376.72
  4. Step 4: Simplify right side
    185,652.64x = 23,477,032,573.90
  5. Step 5: Solve for x
    x = 23,477,032,573.90/185,652.64
  6. Step 6: Final answer
    x = 126,456.77

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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.