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Finding the Fourth Proportional to 55,247.20, 82,870.80 and 13,694.20

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Solution

The fourth proportional to 55,247.20, 82,870.80 and 13,694.20 is: 20,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,247.20 : 82,870.80 = 13,694.20 : x
  2. Step 2: Convert to fraction form
    55,247.20/82,870.80 = 13,694.20/x
  3. Step 3: Cross multiply
    55,247.20x = 82,870.80 × 13,694.20
  4. Step 4: Simplify right side
    55,247.20x = 1,134,849,309.36
  5. Step 5: Solve for x
    x = 1,134,849,309.36/55,247.20
  6. Step 6: Final answer
    x = 20,541.30

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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.