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Finding the Fourth Proportional to 83,971.91, 125,343.50 and 74,007.74

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Solution

The fourth proportional to 83,971.91, 125,343.50 and 74,007.74 is: 110,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,971.91 : 125,343.50 = 74,007.74 : x
  2. Step 2: Convert to fraction form
    83,971.91/125,343.50 = 74,007.74/x
  3. Step 3: Cross multiply
    83,971.91x = 125,343.50 × 74,007.74
  4. Step 4: Simplify right side
    83,971.91x = 9,276,388,788.65
  5. Step 5: Solve for x
    x = 9,276,388,788.65/83,971.91
  6. Step 6: Final answer
    x = 110,470.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.