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Finding the Fourth Proportional to 208,889.84, 288,267.26 and 113,395.86

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Solution

The fourth proportional to 208,889.84, 288,267.26 and 113,395.86 is: 156,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.84 : 288,267.26 = 113,395.86 : x
  2. Step 2: Convert to fraction form
    208,889.84/288,267.26 = 113,395.86/x
  3. Step 3: Cross multiply
    208,889.84x = 288,267.26 × 113,395.86
  4. Step 4: Simplify right side
    208,889.84x = 32,688,313,857.54
  5. Step 5: Solve for x
    x = 32,688,313,857.54/208,889.84
  6. Step 6: Final answer
    x = 156,485.90

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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.