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Finding the Fourth Proportional to 120,708.83, 166,502.40 and 77,744

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Solution

The fourth proportional to 120,708.83, 166,502.40 and 77,744 is: 107,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,708.83 : 166,502.40 = 77,744 : x
  2. Step 2: Convert to fraction form
    120,708.83/166,502.40 = 77,744/x
  3. Step 3: Cross multiply
    120,708.83x = 166,502.40 × 77,744
  4. Step 4: Simplify right side
    120,708.83x = 12,944,562,585.60
  5. Step 5: Solve for x
    x = 12,944,562,585.60/120,708.83
  6. Step 6: Final answer
    x = 107,237.91

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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.