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Finding the Fourth Proportional to 55,708.40, 83,489.70 and 22,401.20

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Solution

The fourth proportional to 55,708.40, 83,489.70 and 22,401.20 is: 33,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708.40 : 83,489.70 = 22,401.20 : x
  2. Step 2: Convert to fraction form
    55,708.40/83,489.70 = 22,401.20/x
  3. Step 3: Cross multiply
    55,708.40x = 83,489.70 × 22,401.20
  4. Step 4: Simplify right side
    55,708.40x = 1,870,269,467.64
  5. Step 5: Solve for x
    x = 1,870,269,467.64/55,708.40
  6. Step 6: Final answer
    x = 33,572.49

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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.