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Finding the Fourth Proportional to 222,106.16, 306,508.92 and 121,502

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Solution

The fourth proportional to 222,106.16, 306,508.92 and 121,502 is: 167,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,106.16 : 306,508.92 = 121,502 : x
  2. Step 2: Convert to fraction form
    222,106.16/306,508.92 = 121,502/x
  3. Step 3: Cross multiply
    222,106.16x = 306,508.92 × 121,502
  4. Step 4: Simplify right side
    222,106.16x = 37,241,446,797.84
  5. Step 5: Solve for x
    x = 37,241,446,797.84/222,106.16
  6. Step 6: Final answer
    x = 167,674.08

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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.