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Finding the Fourth Proportional to 55,486.75, 83,238.41 and 20,423.74

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Solution

The fourth proportional to 55,486.75, 83,238.41 and 20,423.74 is: 30,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,486.75 : 83,238.41 = 20,423.74 : x
  2. Step 2: Convert to fraction form
    55,486.75/83,238.41 = 20,423.74/x
  3. Step 3: Cross multiply
    55,486.75x = 83,238.41 × 20,423.74
  4. Step 4: Simplify right side
    55,486.75x = 1,700,039,125.54
  5. Step 5: Solve for x
    x = 1,700,039,125.54/55,486.75
  6. Step 6: Final answer
    x = 30,638.65

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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.