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Finding the Fourth Proportional to 55,002.40, 82,406.40 and 51,503.20

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Solution

The fourth proportional to 55,002.40, 82,406.40 and 51,503.20 is: 77,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,002.40 : 82,406.40 = 51,503.20 : x
  2. Step 2: Convert to fraction form
    55,002.40/82,406.40 = 51,503.20/x
  3. Step 3: Cross multiply
    55,002.40x = 82,406.40 × 51,503.20
  4. Step 4: Simplify right side
    55,002.40x = 4,244,193,300.48
  5. Step 5: Solve for x
    x = 4,244,193,300.48/55,002.40
  6. Step 6: Final answer
    x = 77,163.78

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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.