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Finding the Fourth Proportional to 186,212.88, 278,780.72 and 166,983.68

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Solution

The fourth proportional to 186,212.88, 278,780.72 and 166,983.68 is: 249,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,212.88 : 278,780.72 = 166,983.68 : x
  2. Step 2: Convert to fraction form
    186,212.88/278,780.72 = 166,983.68/x
  3. Step 3: Cross multiply
    186,212.88x = 278,780.72 × 166,983.68
  4. Step 4: Simplify right side
    186,212.88x = 46,551,828,309.83
  5. Step 5: Solve for x
    x = 46,551,828,309.83/186,212.88
  6. Step 6: Final answer
    x = 249,992.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.