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Finding the Fourth Proportional to 99,658.94, 137,540.06 and 61,410.32

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Solution

The fourth proportional to 99,658.94, 137,540.06 and 61,410.32 is: 84,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,658.94 : 137,540.06 = 61,410.32 : x
  2. Step 2: Convert to fraction form
    99,658.94/137,540.06 = 61,410.32/x
  3. Step 3: Cross multiply
    99,658.94x = 137,540.06 × 61,410.32
  4. Step 4: Simplify right side
    99,658.94x = 8,446,379,097.42
  5. Step 5: Solve for x
    x = 8,446,379,097.42/99,658.94
  6. Step 6: Final answer
    x = 84,752.85

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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.