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Finding the Fourth Proportional to 100,109.81, 150,006.65 and 81,298.31

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Solution

The fourth proportional to 100,109.81, 150,006.65 and 81,298.31 is: 121,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109.81 : 150,006.65 = 81,298.31 : x
  2. Step 2: Convert to fraction form
    100,109.81/150,006.65 = 81,298.31/x
  3. Step 3: Cross multiply
    100,109.81x = 150,006.65 × 81,298.31
  4. Step 4: Simplify right side
    100,109.81x = 12,195,286,727.27
  5. Step 5: Solve for x
    x = 12,195,286,727.27/100,109.81
  6. Step 6: Final answer
    x = 121,819.10

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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.