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Finding the Fourth Proportional to 100,552.62, 138,728.85 and 56,939.24

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Solution

The fourth proportional to 100,552.62, 138,728.85 and 56,939.24 is: 78,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,552.62 : 138,728.85 = 56,939.24 : x
  2. Step 2: Convert to fraction form
    100,552.62/138,728.85 = 56,939.24/x
  3. Step 3: Cross multiply
    100,552.62x = 138,728.85 × 56,939.24
  4. Step 4: Simplify right side
    100,552.62x = 7,899,115,285.07
  5. Step 5: Solve for x
    x = 7,899,115,285.07/100,552.62
  6. Step 6: Final answer
    x = 78,557.03

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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.