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Finding the Fourth Proportional to 222,471.76, 307,008.12 and 121,870.48

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Solution

The fourth proportional to 222,471.76, 307,008.12 and 121,870.48 is: 168,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,471.76 : 307,008.12 = 121,870.48 : x
  2. Step 2: Convert to fraction form
    222,471.76/307,008.12 = 121,870.48/x
  3. Step 3: Cross multiply
    222,471.76x = 307,008.12 × 121,870.48
  4. Step 4: Simplify right side
    222,471.76x = 37,415,226,948.30
  5. Step 5: Solve for x
    x = 37,415,226,948.30/222,471.76
  6. Step 6: Final answer
    x = 168,179.67

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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.