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Finding the Fourth Proportional to 253,959.60, 380,970.89 and 83,122.64

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Solution

The fourth proportional to 253,959.60, 380,970.89 and 83,122.64 is: 124,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,959.60 : 380,970.89 = 83,122.64 : x
  2. Step 2: Convert to fraction form
    253,959.60/380,970.89 = 83,122.64/x
  3. Step 3: Cross multiply
    253,959.60x = 380,970.89 × 83,122.64
  4. Step 4: Simplify right side
    253,959.60x = 31,667,303,819.48
  5. Step 5: Solve for x
    x = 31,667,303,819.48/253,959.60
  6. Step 6: Final answer
    x = 124,694.26

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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.