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Finding the Fourth Proportional to 166,488, 229,754.40 and 106,872

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Solution

The fourth proportional to 166,488, 229,754.40 and 106,872 is: 147,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,488 : 229,754.40 = 106,872 : x
  2. Step 2: Convert to fraction form
    166,488/229,754.40 = 106,872/x
  3. Step 3: Cross multiply
    166,488x = 229,754.40 × 106,872
  4. Step 4: Simplify right side
    166,488x = 24,554,312,236.80
  5. Step 5: Solve for x
    x = 24,554,312,236.80/166,488
  6. Step 6: Final answer
    x = 147,483.98

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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.