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Finding the Fourth Proportional to 66,778.16, 100,206.14 and 25,228.40

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Solution

The fourth proportional to 66,778.16, 100,206.14 and 25,228.40 is: 37,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,778.16 : 100,206.14 = 25,228.40 : x
  2. Step 2: Convert to fraction form
    66,778.16/100,206.14 = 25,228.40/x
  3. Step 3: Cross multiply
    66,778.16x = 100,206.14 × 25,228.40
  4. Step 4: Simplify right side
    66,778.16x = 2,528,040,582.38
  5. Step 5: Solve for x
    x = 2,528,040,582.38/66,778.16
  6. Step 6: Final answer
    x = 37,857.30

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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.