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Finding the Fourth Proportional to 153,702, 212,112 and 86,634

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Solution

The fourth proportional to 153,702, 212,112 and 86,634 is: 119,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702 : 212,112 = 86,634 : x
  2. Step 2: Convert to fraction form
    153,702/212,112 = 86,634/x
  3. Step 3: Cross multiply
    153,702x = 212,112 × 86,634
  4. Step 4: Simplify right side
    153,702x = 18,376,111,008
  5. Step 5: Solve for x
    x = 18,376,111,008/153,702
  6. Step 6: Final answer
    x = 119,556.75

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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.