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Finding the Fourth Proportional to 50,419.71, 75,628.08 and 20,815.02

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Solution

The fourth proportional to 50,419.71, 75,628.08 and 20,815.02 is: 31,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.71 : 75,628.08 = 20,815.02 : x
  2. Step 2: Convert to fraction form
    50,419.71/75,628.08 = 20,815.02/x
  3. Step 3: Cross multiply
    50,419.71x = 75,628.08 × 20,815.02
  4. Step 4: Simplify right side
    50,419.71x = 1,574,199,997.76
  5. Step 5: Solve for x
    x = 1,574,199,997.76/50,419.71
  6. Step 6: Final answer
    x = 31,221.92

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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.