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Finding the Fourth Proportional to 99,841.78, 137,782.32 and 54,520.08

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Solution

The fourth proportional to 99,841.78, 137,782.32 and 54,520.08 is: 75,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,841.78 : 137,782.32 = 54,520.08 : x
  2. Step 2: Convert to fraction form
    99,841.78/137,782.32 = 54,520.08/x
  3. Step 3: Cross multiply
    99,841.78x = 137,782.32 × 54,520.08
  4. Step 4: Simplify right side
    99,841.78x = 7,511,903,108.99
  5. Step 5: Solve for x
    x = 7,511,903,108.99/99,841.78
  6. Step 6: Final answer
    x = 75,238.07

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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.