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Finding the Fourth Proportional to 251,886.60, 377,821.80 and 83,414.70

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Solution

The fourth proportional to 251,886.60, 377,821.80 and 83,414.70 is: 125,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,886.60 : 377,821.80 = 83,414.70 : x
  2. Step 2: Convert to fraction form
    251,886.60/377,821.80 = 83,414.70/x
  3. Step 3: Cross multiply
    251,886.60x = 377,821.80 × 83,414.70
  4. Step 4: Simplify right side
    251,886.60x = 31,515,892,100.46
  5. Step 5: Solve for x
    x = 31,515,892,100.46/251,886.60
  6. Step 6: Final answer
    x = 125,119.37

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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.