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Finding the Fourth Proportional to 98,843.72, 136,414.10 and 56,408.63

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Solution

The fourth proportional to 98,843.72, 136,414.10 and 56,408.63 is: 77,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.72 : 136,414.10 = 56,408.63 : x
  2. Step 2: Convert to fraction form
    98,843.72/136,414.10 = 56,408.63/x
  3. Step 3: Cross multiply
    98,843.72x = 136,414.10 × 56,408.63
  4. Step 4: Simplify right side
    98,843.72x = 7,694,932,152.65
  5. Step 5: Solve for x
    x = 7,694,932,152.65/98,843.72
  6. Step 6: Final answer
    x = 77,849.48

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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.