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Finding the Fourth Proportional to 98,414.86, 147,645.73 and 31,855

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Solution

The fourth proportional to 98,414.86, 147,645.73 and 31,855 is: 47,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,414.86 : 147,645.73 = 31,855 : x
  2. Step 2: Convert to fraction form
    98,414.86/147,645.73 = 31,855/x
  3. Step 3: Cross multiply
    98,414.86x = 147,645.73 × 31,855
  4. Step 4: Simplify right side
    98,414.86x = 4,703,254,729.15
  5. Step 5: Solve for x
    x = 4,703,254,729.15/98,414.86
  6. Step 6: Final answer
    x = 47,790.09

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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.