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Finding the Fourth Proportional to 200,043.76, 300,066.04 and 81,715.20

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Solution

The fourth proportional to 200,043.76, 300,066.04 and 81,715.20 is: 122,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043.76 : 300,066.04 = 81,715.20 : x
  2. Step 2: Convert to fraction form
    200,043.76/300,066.04 = 81,715.20/x
  3. Step 3: Cross multiply
    200,043.76x = 300,066.04 × 81,715.20
  4. Step 4: Simplify right side
    200,043.76x = 24,519,956,471.81
  5. Step 5: Solve for x
    x = 24,519,956,471.81/200,043.76
  6. Step 6: Final answer
    x = 122,572.96

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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.