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Finding the Fourth Proportional to 109,496.68, 164,269.64 and 39,376

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Solution

The fourth proportional to 109,496.68, 164,269.64 and 39,376 is: 59,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496.68 : 164,269.64 = 39,376 : x
  2. Step 2: Convert to fraction form
    109,496.68/164,269.64 = 39,376/x
  3. Step 3: Cross multiply
    109,496.68x = 164,269.64 × 39,376
  4. Step 4: Simplify right side
    109,496.68x = 6,468,281,344.64
  5. Step 5: Solve for x
    x = 6,468,281,344.64/109,496.68
  6. Step 6: Final answer
    x = 59,072.85

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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.