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Finding the Fourth Proportional to 475,105.15, 712,704.09 and 138,148.39

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Solution

The fourth proportional to 475,105.15, 712,704.09 and 138,148.39 is: 207,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,105.15 : 712,704.09 = 138,148.39 : x
  2. Step 2: Convert to fraction form
    475,105.15/712,704.09 = 138,148.39/x
  3. Step 3: Cross multiply
    475,105.15x = 712,704.09 × 138,148.39
  4. Step 4: Simplify right side
    475,105.15x = 98,458,922,579.92
  5. Step 5: Solve for x
    x = 98,458,922,579.92/475,105.15
  6. Step 6: Final answer
    x = 207,236.07

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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.