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Finding the Fourth Proportional to 222,988.47, 307,724.92 and 121,013.93

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Solution

The fourth proportional to 222,988.47, 307,724.92 and 121,013.93 is: 166,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,988.47 : 307,724.92 = 121,013.93 : x
  2. Step 2: Convert to fraction form
    222,988.47/307,724.92 = 121,013.93/x
  3. Step 3: Cross multiply
    222,988.47x = 307,724.92 × 121,013.93
  4. Step 4: Simplify right side
    222,988.47x = 37,239,000,086.98
  5. Step 5: Solve for x
    x = 37,239,000,086.98/222,988.47
  6. Step 6: Final answer
    x = 166,999.67

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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.