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Finding the Fourth Proportional to 208,906.15, 313,404.20 and 64,809.05

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Solution

The fourth proportional to 208,906.15, 313,404.20 and 64,809.05 is: 97,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,906.15 : 313,404.20 = 64,809.05 : x
  2. Step 2: Convert to fraction form
    208,906.15/313,404.20 = 64,809.05/x
  3. Step 3: Cross multiply
    208,906.15x = 313,404.20 × 64,809.05
  4. Step 4: Simplify right side
    208,906.15x = 20,311,426,637.70
  5. Step 5: Solve for x
    x = 20,311,426,637.70/208,906.15
  6. Step 6: Final answer
    x = 97,227.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.