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Finding the Fourth Proportional to 208,893.70, 288,273.66 and 113,400.34

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Solution

The fourth proportional to 208,893.70, 288,273.66 and 113,400.34 is: 156,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,893.70 : 288,273.66 = 113,400.34 : x
  2. Step 2: Convert to fraction form
    208,893.70/288,273.66 = 113,400.34/x
  3. Step 3: Cross multiply
    208,893.70x = 288,273.66 × 113,400.34
  4. Step 4: Simplify right side
    208,893.70x = 32,690,331,057.04
  5. Step 5: Solve for x
    x = 32,690,331,057.04/208,893.70
  6. Step 6: Final answer
    x = 156,492.66

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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.