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Finding the Fourth Proportional to 77,990, 116,997.16 and 25,387.04

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Solution

The fourth proportional to 77,990, 116,997.16 and 25,387.04 is: 38,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,990 : 116,997.16 = 25,387.04 : x
  2. Step 2: Convert to fraction form
    77,990/116,997.16 = 25,387.04/x
  3. Step 3: Cross multiply
    77,990x = 116,997.16 × 25,387.04
  4. Step 4: Simplify right side
    77,990x = 2,970,211,580.81
  5. Step 5: Solve for x
    x = 2,970,211,580.81/77,990
  6. Step 6: Final answer
    x = 38,084.52

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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.