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Finding the Fourth Proportional to 208,889.60, 288,267.84 and 113,396.24

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Solution

The fourth proportional to 208,889.60, 288,267.84 and 113,396.24 is: 156,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.60 : 288,267.84 = 113,396.24 : x
  2. Step 2: Convert to fraction form
    208,889.60/288,267.84 = 113,396.24/x
  3. Step 3: Cross multiply
    208,889.60x = 288,267.84 × 113,396.24
  4. Step 4: Simplify right side
    208,889.60x = 32,688,489,168.92
  5. Step 5: Solve for x
    x = 32,688,489,168.92/208,889.60
  6. Step 6: Final answer
    x = 156,486.92

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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.