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Finding the Fourth Proportional to 207,638.16, 311,358.60 and 107,698.20

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Solution

The fourth proportional to 207,638.16, 311,358.60 and 107,698.20 is: 161,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,638.16 : 311,358.60 = 107,698.20 : x
  2. Step 2: Convert to fraction form
    207,638.16/311,358.60 = 107,698.20/x
  3. Step 3: Cross multiply
    207,638.16x = 311,358.60 × 107,698.20
  4. Step 4: Simplify right side
    207,638.16x = 33,532,760,774.52
  5. Step 5: Solve for x
    x = 33,532,760,774.52/207,638.16
  6. Step 6: Final answer
    x = 161,496.14

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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.