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Finding the Fourth Proportional to 130,404, 179,961.36 and 70,791.84

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Solution

The fourth proportional to 130,404, 179,961.36 and 70,791.84 is: 97,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,404 : 179,961.36 = 70,791.84 : x
  2. Step 2: Convert to fraction form
    130,404/179,961.36 = 70,791.84/x
  3. Step 3: Cross multiply
    130,404x = 179,961.36 × 70,791.84
  4. Step 4: Simplify right side
    130,404x = 12,739,795,803.30
  5. Step 5: Solve for x
    x = 12,739,795,803.30/130,404
  6. Step 6: Final answer
    x = 97,694.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.