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Finding the Fourth Proportional to 99,878.56, 137,827.60 and 55,165.60

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Solution

The fourth proportional to 99,878.56, 137,827.60 and 55,165.60 is: 76,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,878.56 : 137,827.60 = 55,165.60 : x
  2. Step 2: Convert to fraction form
    99,878.56/137,827.60 = 55,165.60/x
  3. Step 3: Cross multiply
    99,878.56x = 137,827.60 × 55,165.60
  4. Step 4: Simplify right side
    99,878.56x = 7,603,342,250.56
  5. Step 5: Solve for x
    x = 7,603,342,250.56/99,878.56
  6. Step 6: Final answer
    x = 76,125.87

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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.