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Finding the Fourth Proportional to 77,279.92, 115,960.92 and 30,533.20

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Solution

The fourth proportional to 77,279.92, 115,960.92 and 30,533.20 is: 45,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279.92 : 115,960.92 = 30,533.20 : x
  2. Step 2: Convert to fraction form
    77,279.92/115,960.92 = 30,533.20/x
  3. Step 3: Cross multiply
    77,279.92x = 115,960.92 × 30,533.20
  4. Step 4: Simplify right side
    77,279.92x = 3,540,657,962.54
  5. Step 5: Solve for x
    x = 3,540,657,962.54/77,279.92
  6. Step 6: Final answer
    x = 45,816.01

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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.