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Finding the Fourth Proportional to 87,129.40, 130,521.30 and 51,964.60

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Solution

The fourth proportional to 87,129.40, 130,521.30 and 51,964.60 is: 77,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,129.40 : 130,521.30 = 51,964.60 : x
  2. Step 2: Convert to fraction form
    87,129.40/130,521.30 = 51,964.60/x
  3. Step 3: Cross multiply
    87,129.40x = 130,521.30 × 51,964.60
  4. Step 4: Simplify right side
    87,129.40x = 6,782,487,145.98
  5. Step 5: Solve for x
    x = 6,782,487,145.98/87,129.40
  6. Step 6: Final answer
    x = 77,843.84

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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.