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Finding the Fourth Proportional to 122,857.20, 183,848.40 and 85,240.80

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Solution

The fourth proportional to 122,857.20, 183,848.40 and 85,240.80 is: 127,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,857.20 : 183,848.40 = 85,240.80 : x
  2. Step 2: Convert to fraction form
    122,857.20/183,848.40 = 85,240.80/x
  3. Step 3: Cross multiply
    122,857.20x = 183,848.40 × 85,240.80
  4. Step 4: Simplify right side
    122,857.20x = 15,671,384,694.72
  5. Step 5: Solve for x
    x = 15,671,384,694.72/122,857.20
  6. Step 6: Final answer
    x = 127,557.72

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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.