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Finding the Fourth Proportional to 109,805.40, 164,708.10 and 50,756.40

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Solution

The fourth proportional to 109,805.40, 164,708.10 and 50,756.40 is: 76,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.40 : 164,708.10 = 50,756.40 : x
  2. Step 2: Convert to fraction form
    109,805.40/164,708.10 = 50,756.40/x
  3. Step 3: Cross multiply
    109,805.40x = 164,708.10 × 50,756.40
  4. Step 4: Simplify right side
    109,805.40x = 8,359,990,206.84
  5. Step 5: Solve for x
    x = 8,359,990,206.84/109,805.40
  6. Step 6: Final answer
    x = 76,134.60

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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.