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Finding the Fourth Proportional to 55,235.20, 82,885.20 and 20,178.40

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Solution

The fourth proportional to 55,235.20, 82,885.20 and 20,178.40 is: 30,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,235.20 : 82,885.20 = 20,178.40 : x
  2. Step 2: Convert to fraction form
    55,235.20/82,885.20 = 20,178.40/x
  3. Step 3: Cross multiply
    55,235.20x = 82,885.20 × 20,178.40
  4. Step 4: Simplify right side
    55,235.20x = 1,672,490,719.68
  5. Step 5: Solve for x
    x = 1,672,490,719.68/55,235.20
  6. Step 6: Final answer
    x = 30,279.44

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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.