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Finding the Fourth Proportional to 109,538.91, 164,209.92 and 39,369

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Solution

The fourth proportional to 109,538.91, 164,209.92 and 39,369 is: 59,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538.91 : 164,209.92 = 39,369 : x
  2. Step 2: Convert to fraction form
    109,538.91/164,209.92 = 39,369/x
  3. Step 3: Cross multiply
    109,538.91x = 164,209.92 × 39,369
  4. Step 4: Simplify right side
    109,538.91x = 6,464,780,340.48
  5. Step 5: Solve for x
    x = 6,464,780,340.48/109,538.91
  6. Step 6: Final answer
    x = 59,018.12

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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.