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Finding the Fourth Proportional to 216,663.82, 298,998.12 and 121,170.74

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Solution

The fourth proportional to 216,663.82, 298,998.12 and 121,170.74 is: 167,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,663.82 : 298,998.12 = 121,170.74 : x
  2. Step 2: Convert to fraction form
    216,663.82/298,998.12 = 121,170.74/x
  3. Step 3: Cross multiply
    216,663.82x = 298,998.12 × 121,170.74
  4. Step 4: Simplify right side
    216,663.82x = 36,229,823,459.01
  5. Step 5: Solve for x
    x = 36,229,823,459.01/216,663.82
  6. Step 6: Final answer
    x = 167,216.77

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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.