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Finding the Fourth Proportional to 265,174.56, 397,787.76 and 78,239.52

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Solution

The fourth proportional to 265,174.56, 397,787.76 and 78,239.52 is: 117,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,174.56 : 397,787.76 = 78,239.52 : x
  2. Step 2: Convert to fraction form
    265,174.56/397,787.76 = 78,239.52/x
  3. Step 3: Cross multiply
    265,174.56x = 397,787.76 × 78,239.52
  4. Step 4: Simplify right side
    265,174.56x = 31,122,723,404.28
  5. Step 5: Solve for x
    x = 31,122,723,404.28/265,174.56
  6. Step 6: Final answer
    x = 117,366.93

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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.