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Finding the Fourth Proportional to 109,364.20, 164,111.10 and 72,031.30

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Solution

The fourth proportional to 109,364.20, 164,111.10 and 72,031.30 is: 108,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364.20 : 164,111.10 = 72,031.30 : x
  2. Step 2: Convert to fraction form
    109,364.20/164,111.10 = 72,031.30/x
  3. Step 3: Cross multiply
    109,364.20x = 164,111.10 × 72,031.30
  4. Step 4: Simplify right side
    109,364.20x = 11,821,135,877.43
  5. Step 5: Solve for x
    x = 11,821,135,877.43/109,364.20
  6. Step 6: Final answer
    x = 108,089.63

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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.