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Finding the Fourth Proportional to 109,901.80, 164,524.65 and 65,505.70

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Solution

The fourth proportional to 109,901.80, 164,524.65 and 65,505.70 is: 98,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,901.80 : 164,524.65 = 65,505.70 : x
  2. Step 2: Convert to fraction form
    109,901.80/164,524.65 = 65,505.70/x
  3. Step 3: Cross multiply
    109,901.80x = 164,524.65 × 65,505.70
  4. Step 4: Simplify right side
    109,901.80x = 10,777,302,365.51
  5. Step 5: Solve for x
    x = 10,777,302,365.51/109,901.80
  6. Step 6: Final answer
    x = 98,063.02

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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.