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Finding the Fourth Proportional to 49,840.82, 74,742.60 and 20,248.69

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Solution

The fourth proportional to 49,840.82, 74,742.60 and 20,248.69 is: 30,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,840.82 : 74,742.60 = 20,248.69 : x
  2. Step 2: Convert to fraction form
    49,840.82/74,742.60 = 20,248.69/x
  3. Step 3: Cross multiply
    49,840.82x = 74,742.60 × 20,248.69
  4. Step 4: Simplify right side
    49,840.82x = 1,513,439,363.48
  5. Step 5: Solve for x
    x = 1,513,439,363.48/49,840.82
  6. Step 6: Final answer
    x = 30,365.46

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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.