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Finding the Fourth Proportional to 57,356, 86,037.24 and 20,420

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Solution

The fourth proportional to 57,356, 86,037.24 and 20,420 is: 30,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,356 : 86,037.24 = 20,420 : x
  2. Step 2: Convert to fraction form
    57,356/86,037.24 = 20,420/x
  3. Step 3: Cross multiply
    57,356x = 86,037.24 × 20,420
  4. Step 4: Simplify right side
    57,356x = 1,756,880,440.80
  5. Step 5: Solve for x
    x = 1,756,880,440.80/57,356
  6. Step 6: Final answer
    x = 30,631.15

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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.