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Finding the Fourth Proportional to 208,147.40, 312,221.10 and 103,040.20

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Solution

The fourth proportional to 208,147.40, 312,221.10 and 103,040.20 is: 154,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,147.40 : 312,221.10 = 103,040.20 : x
  2. Step 2: Convert to fraction form
    208,147.40/312,221.10 = 103,040.20/x
  3. Step 3: Cross multiply
    208,147.40x = 312,221.10 × 103,040.20
  4. Step 4: Simplify right side
    208,147.40x = 32,171,324,588.22
  5. Step 5: Solve for x
    x = 32,171,324,588.22/208,147.40
  6. Step 6: Final answer
    x = 154,560.30

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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.