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Finding the Fourth Proportional to 208,855.70, 288,221.10 and 113,362.40

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Solution

The fourth proportional to 208,855.70, 288,221.10 and 113,362.40 is: 156,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.70 : 288,221.10 = 113,362.40 : x
  2. Step 2: Convert to fraction form
    208,855.70/288,221.10 = 113,362.40/x
  3. Step 3: Cross multiply
    208,855.70x = 288,221.10 × 113,362.40
  4. Step 4: Simplify right side
    208,855.70x = 32,673,435,626.64
  5. Step 5: Solve for x
    x = 32,673,435,626.64/208,855.70
  6. Step 6: Final answer
    x = 156,440.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.