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Finding the Fourth Proportional to 95,896.80, 143,672.40 and 78,271.20

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Solution

The fourth proportional to 95,896.80, 143,672.40 and 78,271.20 is: 117,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896.80 : 143,672.40 = 78,271.20 : x
  2. Step 2: Convert to fraction form
    95,896.80/143,672.40 = 78,271.20/x
  3. Step 3: Cross multiply
    95,896.80x = 143,672.40 × 78,271.20
  4. Step 4: Simplify right side
    95,896.80x = 11,245,411,154.88
  5. Step 5: Solve for x
    x = 11,245,411,154.88/95,896.80
  6. Step 6: Final answer
    x = 117,265.76

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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.