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Finding the Fourth Proportional to 148,699, 205,207.86 and 81,631

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Solution

The fourth proportional to 148,699, 205,207.86 and 81,631 is: 112,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,699 : 205,207.86 = 81,631 : x
  2. Step 2: Convert to fraction form
    148,699/205,207.86 = 81,631/x
  3. Step 3: Cross multiply
    148,699x = 205,207.86 × 81,631
  4. Step 4: Simplify right side
    148,699x = 16,751,322,819.66
  5. Step 5: Solve for x
    x = 16,751,322,819.66/148,699
  6. Step 6: Final answer
    x = 112,652.56

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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.