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Finding the Fourth Proportional to 186,769.64, 278,697.75 and 166,640.76

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Solution

The fourth proportional to 186,769.64, 278,697.75 and 166,640.76 is: 248,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,769.64 : 278,697.75 = 166,640.76 : x
  2. Step 2: Convert to fraction form
    186,769.64/278,697.75 = 166,640.76/x
  3. Step 3: Cross multiply
    186,769.64x = 278,697.75 × 166,640.76
  4. Step 4: Simplify right side
    186,769.64x = 46,442,404,870.29
  5. Step 5: Solve for x
    x = 46,442,404,870.29/186,769.64
  6. Step 6: Final answer
    x = 248,661.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.