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Finding the Fourth Proportional to 109,337.80, 164,006.70 and 69,939.40

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Solution

The fourth proportional to 109,337.80, 164,006.70 and 69,939.40 is: 104,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,337.80 : 164,006.70 = 69,939.40 : x
  2. Step 2: Convert to fraction form
    109,337.80/164,006.70 = 69,939.40/x
  3. Step 3: Cross multiply
    109,337.80x = 164,006.70 × 69,939.40
  4. Step 4: Simplify right side
    109,337.80x = 11,470,530,193.98
  5. Step 5: Solve for x
    x = 11,470,530,193.98/109,337.80
  6. Step 6: Final answer
    x = 104,909.10

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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.