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Finding the Fourth Proportional to 161,876.78, 222,881.61 and 137,630.06

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Solution

The fourth proportional to 161,876.78, 222,881.61 and 137,630.06 is: 189,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,876.78 : 222,881.61 = 137,630.06 : x
  2. Step 2: Convert to fraction form
    161,876.78/222,881.61 = 137,630.06/x
  3. Step 3: Cross multiply
    161,876.78x = 222,881.61 × 137,630.06
  4. Step 4: Simplify right side
    161,876.78x = 30,675,208,242.79
  5. Step 5: Solve for x
    x = 30,675,208,242.79/161,876.78
  6. Step 6: Final answer
    x = 189,497.28

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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.