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Finding the Fourth Proportional to 222,560, 307,132.40 and 120,588.05

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Solution

The fourth proportional to 222,560, 307,132.40 and 120,588.05 is: 166,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,560 : 307,132.40 = 120,588.05 : x
  2. Step 2: Convert to fraction form
    222,560/307,132.40 = 120,588.05/x
  3. Step 3: Cross multiply
    222,560x = 307,132.40 × 120,588.05
  4. Step 4: Simplify right side
    222,560x = 37,036,497,207.82
  5. Step 5: Solve for x
    x = 37,036,497,207.82/222,560
  6. Step 6: Final answer
    x = 166,411.29

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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.