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Finding the Fourth Proportional to 84,424, 126,679.74 and 42,871

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Solution

The fourth proportional to 84,424, 126,679.74 and 42,871 is: 64,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,424 : 126,679.74 = 42,871 : x
  2. Step 2: Convert to fraction form
    84,424/126,679.74 = 42,871/x
  3. Step 3: Cross multiply
    84,424x = 126,679.74 × 42,871
  4. Step 4: Simplify right side
    84,424x = 5,430,887,133.54
  5. Step 5: Solve for x
    x = 5,430,887,133.54/84,424
  6. Step 6: Final answer
    x = 64,328.71

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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.