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Finding the Fourth Proportional to 151,992, 209,748.96 and 84,924

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Solution

The fourth proportional to 151,992, 209,748.96 and 84,924 is: 117,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,992 : 209,748.96 = 84,924 : x
  2. Step 2: Convert to fraction form
    151,992/209,748.96 = 84,924/x
  3. Step 3: Cross multiply
    151,992x = 209,748.96 × 84,924
  4. Step 4: Simplify right side
    151,992x = 17,812,720,679.04
  5. Step 5: Solve for x
    x = 17,812,720,679.04/151,992
  6. Step 6: Final answer
    x = 117,195.12

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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.