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Finding the Fourth Proportional to 53,438.40, 80,222.40 and 27,129.60

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Solution

The fourth proportional to 53,438.40, 80,222.40 and 27,129.60 is: 40,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,438.40 : 80,222.40 = 27,129.60 : x
  2. Step 2: Convert to fraction form
    53,438.40/80,222.40 = 27,129.60/x
  3. Step 3: Cross multiply
    53,438.40x = 80,222.40 × 27,129.60
  4. Step 4: Simplify right side
    53,438.40x = 2,176,401,623.04
  5. Step 5: Solve for x
    x = 2,176,401,623.04/53,438.40
  6. Step 6: Final answer
    x = 40,727.30

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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.