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Finding the Fourth Proportional to 109,486.69, 164,254.64 and 39,366

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Solution

The fourth proportional to 109,486.69, 164,254.64 and 39,366 is: 59,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.69 : 164,254.64 = 39,366 : x
  2. Step 2: Convert to fraction form
    109,486.69/164,254.64 = 39,366/x
  3. Step 3: Cross multiply
    109,486.69x = 164,254.64 × 39,366
  4. Step 4: Simplify right side
    109,486.69x = 6,466,047,961.41
  5. Step 5: Solve for x
    x = 6,466,047,961.41/109,486.69
  6. Step 6: Final answer
    x = 59,057.85

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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.