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Finding the Fourth Proportional to 109,443.80, 164,165.70 and 30,557.90

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Solution

The fourth proportional to 109,443.80, 164,165.70 and 30,557.90 is: 45,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,443.80 : 164,165.70 = 30,557.90 : x
  2. Step 2: Convert to fraction form
    109,443.80/164,165.70 = 30,557.90/x
  3. Step 3: Cross multiply
    109,443.80x = 164,165.70 × 30,557.90
  4. Step 4: Simplify right side
    109,443.80x = 5,016,559,044.03
  5. Step 5: Solve for x
    x = 5,016,559,044.03/109,443.80
  6. Step 6: Final answer
    x = 45,836.85

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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.