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Finding the Fourth Proportional to 109,872.90, 164,809.35 and 30,986.10

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Solution

The fourth proportional to 109,872.90, 164,809.35 and 30,986.10 is: 46,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.90 : 164,809.35 = 30,986.10 : x
  2. Step 2: Convert to fraction form
    109,872.90/164,809.35 = 30,986.10/x
  3. Step 3: Cross multiply
    109,872.90x = 164,809.35 × 30,986.10
  4. Step 4: Simplify right side
    109,872.90x = 5,106,799,000.04
  5. Step 5: Solve for x
    x = 5,106,799,000.04/109,872.90
  6. Step 6: Final answer
    x = 46,479.15

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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.