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Finding the Fourth Proportional to 208,847.52, 288,201.87 and 113,352.17

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Solution

The fourth proportional to 208,847.52, 288,201.87 and 113,352.17 is: 156,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.52 : 288,201.87 = 113,352.17 : x
  2. Step 2: Convert to fraction form
    208,847.52/288,201.87 = 113,352.17/x
  3. Step 3: Cross multiply
    208,847.52x = 288,201.87 × 113,352.17
  4. Step 4: Simplify right side
    208,847.52x = 32,668,307,362.56
  5. Step 5: Solve for x
    x = 32,668,307,362.56/208,847.52
  6. Step 6: Final answer
    x = 156,421.81

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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.