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Finding the Fourth Proportional to 159,255.40, 238,868.70 and 54,077.80

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Solution

The fourth proportional to 159,255.40, 238,868.70 and 54,077.80 is: 81,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,255.40 : 238,868.70 = 54,077.80 : x
  2. Step 2: Convert to fraction form
    159,255.40/238,868.70 = 54,077.80/x
  3. Step 3: Cross multiply
    159,255.40x = 238,868.70 × 54,077.80
  4. Step 4: Simplify right side
    159,255.40x = 12,917,493,784.86
  5. Step 5: Solve for x
    x = 12,917,493,784.86/159,255.40
  6. Step 6: Final answer
    x = 81,111.81

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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.