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Finding the Fourth Proportional to 222,032.66, 306,407.49 and 121,428.50

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Solution

The fourth proportional to 222,032.66, 306,407.49 and 121,428.50 is: 167,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,032.66 : 306,407.49 = 121,428.50 : x
  2. Step 2: Convert to fraction form
    222,032.66/306,407.49 = 121,428.50/x
  3. Step 3: Cross multiply
    222,032.66x = 306,407.49 × 121,428.50
  4. Step 4: Simplify right side
    222,032.66x = 37,206,601,899.47
  5. Step 5: Solve for x
    x = 37,206,601,899.47/222,032.66
  6. Step 6: Final answer
    x = 167,572.65

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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.