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Finding the Fourth Proportional to 77,254.54, 115,801.90 and 43,902.78

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Solution

The fourth proportional to 77,254.54, 115,801.90 and 43,902.78 is: 65,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,254.54 : 115,801.90 = 43,902.78 : x
  2. Step 2: Convert to fraction form
    77,254.54/115,801.90 = 43,902.78/x
  3. Step 3: Cross multiply
    77,254.54x = 115,801.90 × 43,902.78
  4. Step 4: Simplify right side
    77,254.54x = 5,084,025,339.28
  5. Step 5: Solve for x
    x = 5,084,025,339.28/77,254.54
  6. Step 6: Final answer
    x = 65,808.76

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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.