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Finding the Fourth Proportional to 99,814.16, 137,745.64 and 54,494.06

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Solution

The fourth proportional to 99,814.16, 137,745.64 and 54,494.06 is: 75,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,814.16 : 137,745.64 = 54,494.06 : x
  2. Step 2: Convert to fraction form
    99,814.16/137,745.64 = 54,494.06/x
  3. Step 3: Cross multiply
    99,814.16x = 137,745.64 × 54,494.06
  4. Step 4: Simplify right side
    99,814.16x = 7,506,319,170.90
  5. Step 5: Solve for x
    x = 7,506,319,170.90/99,814.16
  6. Step 6: Final answer
    x = 75,202.95

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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.