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Finding the Fourth Proportional to 87,264, 130,896 and 28,105.65

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Solution

The fourth proportional to 87,264, 130,896 and 28,105.65 is: 42,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 130,896 = 28,105.65 : x
  2. Step 2: Convert to fraction form
    87,264/130,896 = 28,105.65/x
  3. Step 3: Cross multiply
    87,264x = 130,896 × 28,105.65
  4. Step 4: Simplify right side
    87,264x = 3,678,917,162.40
  5. Step 5: Solve for x
    x = 3,678,917,162.40/87,264
  6. Step 6: Final answer
    x = 42,158.48

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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.