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Finding the Fourth Proportional to 42,747.84, 64,122.84 and 20,253.24

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Solution

The fourth proportional to 42,747.84, 64,122.84 and 20,253.24 is: 30,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,747.84 : 64,122.84 = 20,253.24 : x
  2. Step 2: Convert to fraction form
    42,747.84/64,122.84 = 20,253.24/x
  3. Step 3: Cross multiply
    42,747.84x = 64,122.84 × 20,253.24
  4. Step 4: Simplify right side
    42,747.84x = 1,298,695,268.00
  5. Step 5: Solve for x
    x = 1,298,695,268.00/42,747.84
  6. Step 6: Final answer
    x = 30,380.37

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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.