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Finding the Fourth Proportional to 209,885.48, 314,711.56 and 85,080.68

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Solution

The fourth proportional to 209,885.48, 314,711.56 and 85,080.68 is: 127,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.48 : 314,711.56 = 85,080.68 : x
  2. Step 2: Convert to fraction form
    209,885.48/314,711.56 = 85,080.68/x
  3. Step 3: Cross multiply
    209,885.48x = 314,711.56 × 85,080.68
  4. Step 4: Simplify right side
    209,885.48x = 26,775,873,528.66
  5. Step 5: Solve for x
    x = 26,775,873,528.66/209,885.48
  6. Step 6: Final answer
    x = 127,573.73

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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.