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Finding the Fourth Proportional to 109,990, 164,988.08 and 38,902.59

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Solution

The fourth proportional to 109,990, 164,988.08 and 38,902.59 is: 58,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,990 : 164,988.08 = 38,902.59 : x
  2. Step 2: Convert to fraction form
    109,990/164,988.08 = 38,902.59/x
  3. Step 3: Cross multiply
    109,990x = 164,988.08 × 38,902.59
  4. Step 4: Simplify right side
    109,990x = 6,418,463,631.13
  5. Step 5: Solve for x
    x = 6,418,463,631.13/109,990
  6. Step 6: Final answer
    x = 58,354.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.