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Finding the Fourth Proportional to 137,858.80, 206,788.20 and 125,611.60

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Solution

The fourth proportional to 137,858.80, 206,788.20 and 125,611.60 is: 188,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,858.80 : 206,788.20 = 125,611.60 : x
  2. Step 2: Convert to fraction form
    137,858.80/206,788.20 = 125,611.60/x
  3. Step 3: Cross multiply
    137,858.80x = 206,788.20 × 125,611.60
  4. Step 4: Simplify right side
    137,858.80x = 25,974,996,663.12
  5. Step 5: Solve for x
    x = 25,974,996,663.12/137,858.80
  6. Step 6: Final answer
    x = 188,417.40

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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.