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Finding the Fourth Proportional to 57,698.40, 86,612.40 and 31,389.60

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Solution

The fourth proportional to 57,698.40, 86,612.40 and 31,389.60 is: 47,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698.40 : 86,612.40 = 31,389.60 : x
  2. Step 2: Convert to fraction form
    57,698.40/86,612.40 = 31,389.60/x
  3. Step 3: Cross multiply
    57,698.40x = 86,612.40 × 31,389.60
  4. Step 4: Simplify right side
    57,698.40x = 2,718,728,591.04
  5. Step 5: Solve for x
    x = 2,718,728,591.04/57,698.40
  6. Step 6: Final answer
    x = 47,119.65

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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.