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Finding the Fourth Proportional to 57,414, 86,124.30 and 20,478

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Solution

The fourth proportional to 57,414, 86,124.30 and 20,478 is: 30,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 86,124.30 = 20,478 : x
  2. Step 2: Convert to fraction form
    57,414/86,124.30 = 20,478/x
  3. Step 3: Cross multiply
    57,414x = 86,124.30 × 20,478
  4. Step 4: Simplify right side
    57,414x = 1,763,653,415.40
  5. Step 5: Solve for x
    x = 1,763,653,415.40/57,414
  6. Step 6: Final answer
    x = 30,718.18

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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.