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Finding the Fourth Proportional to 109,893.12, 164,839.68 and 39,756.12

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Solution

The fourth proportional to 109,893.12, 164,839.68 and 39,756.12 is: 59,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.12 : 164,839.68 = 39,756.12 : x
  2. Step 2: Convert to fraction form
    109,893.12/164,839.68 = 39,756.12/x
  3. Step 3: Cross multiply
    109,893.12x = 164,839.68 × 39,756.12
  4. Step 4: Simplify right side
    109,893.12x = 6,553,386,098.84
  5. Step 5: Solve for x
    x = 6,553,386,098.84/109,893.12
  6. Step 6: Final answer
    x = 59,634.18

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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.