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Finding the Fourth Proportional to 151,848.94, 227,912.46 and 77,020.78

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Solution

The fourth proportional to 151,848.94, 227,912.46 and 77,020.78 is: 115,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,848.94 : 227,912.46 = 77,020.78 : x
  2. Step 2: Convert to fraction form
    151,848.94/227,912.46 = 77,020.78/x
  3. Step 3: Cross multiply
    151,848.94x = 227,912.46 × 77,020.78
  4. Step 4: Simplify right side
    151,848.94x = 17,553,995,440.92
  5. Step 5: Solve for x
    x = 17,553,995,440.92/151,848.94
  6. Step 6: Final answer
    x = 115,601.70

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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.