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Finding the Fourth Proportional to 99,206, 136,913.46 and 54,502.64

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Solution

The fourth proportional to 99,206, 136,913.46 and 54,502.64 is: 75,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,206 : 136,913.46 = 54,502.64 : x
  2. Step 2: Convert to fraction form
    99,206/136,913.46 = 54,502.64/x
  3. Step 3: Cross multiply
    99,206x = 136,913.46 × 54,502.64
  4. Step 4: Simplify right side
    99,206x = 7,462,145,021.53
  5. Step 5: Solve for x
    x = 7,462,145,021.53/99,206
  6. Step 6: Final answer
    x = 75,218.69

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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.