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Finding the Fourth Proportional to 137,086.74, 205,630.10 and 77,119.20

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Solution

The fourth proportional to 137,086.74, 205,630.10 and 77,119.20 is: 115,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,086.74 : 205,630.10 = 77,119.20 : x
  2. Step 2: Convert to fraction form
    137,086.74/205,630.10 = 77,119.20/x
  3. Step 3: Cross multiply
    137,086.74x = 205,630.10 × 77,119.20
  4. Step 4: Simplify right side
    137,086.74x = 15,858,028,807.92
  5. Step 5: Solve for x
    x = 15,858,028,807.92/137,086.74
  6. Step 6: Final answer
    x = 115,678.79

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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.