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Finding the Fourth Proportional to 87,842.16, 121,223.13 and 47,556.77

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Solution

The fourth proportional to 87,842.16, 121,223.13 and 47,556.77 is: 65,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,842.16 : 121,223.13 = 47,556.77 : x
  2. Step 2: Convert to fraction form
    87,842.16/121,223.13 = 47,556.77/x
  3. Step 3: Cross multiply
    87,842.16x = 121,223.13 × 47,556.77
  4. Step 4: Simplify right side
    87,842.16x = 5,764,979,905.97
  5. Step 5: Solve for x
    x = 5,764,979,905.97/87,842.16
  6. Step 6: Final answer
    x = 65,628.85

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1.5x scale

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.