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Finding the Fourth Proportional to 115,512.57, 173,184.87 and 77,980

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Solution

The fourth proportional to 115,512.57, 173,184.87 and 77,980 is: 116,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,512.57 : 173,184.87 = 77,980 : x
  2. Step 2: Convert to fraction form
    115,512.57/173,184.87 = 77,980/x
  3. Step 3: Cross multiply
    115,512.57x = 173,184.87 × 77,980
  4. Step 4: Simplify right side
    115,512.57x = 13,504,956,162.60
  5. Step 5: Solve for x
    x = 13,504,956,162.60/115,512.57
  6. Step 6: Final answer
    x = 116,913.30

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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.