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Finding the Fourth Proportional to 186,974.01, 258,020.88 and 106,399.86

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Solution

The fourth proportional to 186,974.01, 258,020.88 and 106,399.86 is: 146,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,974.01 : 258,020.88 = 106,399.86 : x
  2. Step 2: Convert to fraction form
    186,974.01/258,020.88 = 106,399.86/x
  3. Step 3: Cross multiply
    186,974.01x = 258,020.88 × 106,399.86
  4. Step 4: Simplify right side
    186,974.01x = 27,453,385,509.08
  5. Step 5: Solve for x
    x = 27,453,385,509.08/186,974.01
  6. Step 6: Final answer
    x = 146,829.96

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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.