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Finding the Fourth Proportional to 153,992, 212,508.96 and 83,336

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Solution

The fourth proportional to 153,992, 212,508.96 and 83,336 is: 115,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,992 : 212,508.96 = 83,336 : x
  2. Step 2: Convert to fraction form
    153,992/212,508.96 = 83,336/x
  3. Step 3: Cross multiply
    153,992x = 212,508.96 × 83,336
  4. Step 4: Simplify right side
    153,992x = 17,709,646,690.56
  5. Step 5: Solve for x
    x = 17,709,646,690.56/153,992
  6. Step 6: Final answer
    x = 115,003.68

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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.