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Finding the Fourth Proportional to 208,960.83, 288,364.05 and 113,461.83

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Solution

The fourth proportional to 208,960.83, 288,364.05 and 113,461.83 is: 156,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,960.83 : 288,364.05 = 113,461.83 : x
  2. Step 2: Convert to fraction form
    208,960.83/288,364.05 = 113,461.83/x
  3. Step 3: Cross multiply
    208,960.83x = 288,364.05 × 113,461.83
  4. Step 4: Simplify right side
    208,960.83x = 32,718,312,819.21
  5. Step 5: Solve for x
    x = 32,718,312,819.21/208,960.83
  6. Step 6: Final answer
    x = 156,576.30

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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.