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Finding the Fourth Proportional to 42,747.81, 64,122.80 and 20,253.22

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Solution

The fourth proportional to 42,747.81, 64,122.80 and 20,253.22 is: 30,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,747.81 : 64,122.80 = 20,253.22 : x
  2. Step 2: Convert to fraction form
    42,747.81/64,122.80 = 20,253.22/x
  3. Step 3: Cross multiply
    42,747.81x = 64,122.80 × 20,253.22
  4. Step 4: Simplify right side
    42,747.81x = 1,298,693,175.42
  5. Step 5: Solve for x
    x = 1,298,693,175.42/42,747.81
  6. Step 6: Final answer
    x = 30,380.34

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1.5x scale

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.