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Finding the Fourth Proportional to 216,503.76, 298,789.20 and 121,014.48

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Solution

The fourth proportional to 216,503.76, 298,789.20 and 121,014.48 is: 167,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,503.76 : 298,789.20 = 121,014.48 : x
  2. Step 2: Convert to fraction form
    216,503.76/298,789.20 = 121,014.48/x
  3. Step 3: Cross multiply
    216,503.76x = 298,789.20 × 121,014.48
  4. Step 4: Simplify right side
    216,503.76x = 36,157,819,667.62
  5. Step 5: Solve for x
    x = 36,157,819,667.62/216,503.76
  6. Step 6: Final answer
    x = 167,007.81

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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.