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Finding the Fourth Proportional to 99,648.76, 138,108.83 and 97,782.52

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Solution

The fourth proportional to 99,648.76, 138,108.83 and 97,782.52 is: 135,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648.76 : 138,108.83 = 97,782.52 : x
  2. Step 2: Convert to fraction form
    99,648.76/138,108.83 = 97,782.52/x
  3. Step 3: Cross multiply
    99,648.76x = 138,108.83 × 97,782.52
  4. Step 4: Simplify right side
    99,648.76x = 13,504,629,431.65
  5. Step 5: Solve for x
    x = 13,504,629,431.65/99,648.76
  6. Step 6: Final answer
    x = 135,522.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.