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Finding the Fourth Proportional to 137,085.74, 205,628.60 and 77,118.20

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Solution

The fourth proportional to 137,085.74, 205,628.60 and 77,118.20 is: 115,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085.74 : 205,628.60 = 77,118.20 : x
  2. Step 2: Convert to fraction form
    137,085.74/205,628.60 = 77,118.20/x
  3. Step 3: Cross multiply
    137,085.74x = 205,628.60 × 77,118.20
  4. Step 4: Simplify right side
    137,085.74x = 15,857,707,500.52
  5. Step 5: Solve for x
    x = 15,857,707,500.52/137,085.74
  6. Step 6: Final answer
    x = 115,677.29

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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.