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Finding the Fourth Proportional to 153,230.44, 211,456.74 and 86,161

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Solution

The fourth proportional to 153,230.44, 211,456.74 and 86,161 is: 118,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,230.44 : 211,456.74 = 86,161 : x
  2. Step 2: Convert to fraction form
    153,230.44/211,456.74 = 86,161/x
  3. Step 3: Cross multiply
    153,230.44x = 211,456.74 × 86,161
  4. Step 4: Simplify right side
    153,230.44x = 18,219,324,175.14
  5. Step 5: Solve for x
    x = 18,219,324,175.14/153,230.44
  6. Step 6: Final answer
    x = 118,901.47

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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.