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Finding the Fourth Proportional to 55,462.70, 83,200.17 and 20,402.30

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Solution

The fourth proportional to 55,462.70, 83,200.17 and 20,402.30 is: 30,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462.70 : 83,200.17 = 20,402.30 : x
  2. Step 2: Convert to fraction form
    55,462.70/83,200.17 = 20,402.30/x
  3. Step 3: Cross multiply
    55,462.70x = 83,200.17 × 20,402.30
  4. Step 4: Simplify right side
    55,462.70x = 1,697,474,828.39
  5. Step 5: Solve for x
    x = 1,697,474,828.39/55,462.70
  6. Step 6: Final answer
    x = 30,605.70

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1.5x scale

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.