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Finding the Fourth Proportional to 251,878.60, 377,809.80 and 83,406.70

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Solution

The fourth proportional to 251,878.60, 377,809.80 and 83,406.70 is: 125,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,878.60 : 377,809.80 = 83,406.70 : x
  2. Step 2: Convert to fraction form
    251,878.60/377,809.80 = 83,406.70/x
  3. Step 3: Cross multiply
    251,878.60x = 377,809.80 × 83,406.70
  4. Step 4: Simplify right side
    251,878.60x = 31,511,868,645.66
  5. Step 5: Solve for x
    x = 31,511,868,645.66/251,878.60
  6. Step 6: Final answer
    x = 125,107.37

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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.