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Finding the Fourth Proportional to 216,884.94, 299,298.29 and 121,391.61

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Solution

The fourth proportional to 216,884.94, 299,298.29 and 121,391.61 is: 167,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,884.94 : 299,298.29 = 121,391.61 : x
  2. Step 2: Convert to fraction form
    216,884.94/299,298.29 = 121,391.61/x
  3. Step 3: Cross multiply
    216,884.94x = 299,298.29 × 121,391.61
  4. Step 4: Simplify right side
    216,884.94x = 36,332,300,686.39
  5. Step 5: Solve for x
    x = 36,332,300,686.39/216,884.94
  6. Step 6: Final answer
    x = 167,518.78

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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.