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Finding the Fourth Proportional to 109,498.68, 164,272.62 and 39,378

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Solution

The fourth proportional to 109,498.68, 164,272.62 and 39,378 is: 59,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,498.68 : 164,272.62 = 39,378 : x
  2. Step 2: Convert to fraction form
    109,498.68/164,272.62 = 39,378/x
  3. Step 3: Cross multiply
    109,498.68x = 164,272.62 × 39,378
  4. Step 4: Simplify right side
    109,498.68x = 6,468,727,230.36
  5. Step 5: Solve for x
    x = 6,468,727,230.36/109,498.68
  6. Step 6: Final answer
    x = 59,075.85

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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.