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Finding the Fourth Proportional to 153,908, 212,481.38 and 117,322.28

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Solution

The fourth proportional to 153,908, 212,481.38 and 117,322.28 is: 161,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,908 : 212,481.38 = 117,322.28 : x
  2. Step 2: Convert to fraction form
    153,908/212,481.38 = 117,322.28/x
  3. Step 3: Cross multiply
    153,908x = 212,481.38 × 117,322.28
  4. Step 4: Simplify right side
    153,908x = 24,928,799,959.15
  5. Step 5: Solve for x
    x = 24,928,799,959.15/153,908
  6. Step 6: Final answer
    x = 161,972.09

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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.