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Finding the Fourth Proportional to 151,712.80, 227,569.20 and 122,188.30

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Solution

The fourth proportional to 151,712.80, 227,569.20 and 122,188.30 is: 183,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,712.80 : 227,569.20 = 122,188.30 : x
  2. Step 2: Convert to fraction form
    151,712.80/227,569.20 = 122,188.30/x
  3. Step 3: Cross multiply
    151,712.80x = 227,569.20 × 122,188.30
  4. Step 4: Simplify right side
    151,712.80x = 27,806,293,680.36
  5. Step 5: Solve for x
    x = 27,806,293,680.36/151,712.80
  6. Step 6: Final answer
    x = 183,282.45

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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.