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Finding the Fourth Proportional to 166,218, 229,397.44 and 99,150

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Solution

The fourth proportional to 166,218, 229,397.44 and 99,150 is: 136,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,218 : 229,397.44 = 99,150 : x
  2. Step 2: Convert to fraction form
    166,218/229,397.44 = 99,150/x
  3. Step 3: Cross multiply
    166,218x = 229,397.44 × 99,150
  4. Step 4: Simplify right side
    166,218x = 22,744,756,176
  5. Step 5: Solve for x
    x = 22,744,756,176/166,218
  6. Step 6: Final answer
    x = 136,836.90

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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.