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Finding the Fourth Proportional to 85,107.77, 117,430.92 and 49,295.65

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Solution

The fourth proportional to 85,107.77, 117,430.92 and 49,295.65 is: 68,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,107.77 : 117,430.92 = 49,295.65 : x
  2. Step 2: Convert to fraction form
    85,107.77/117,430.92 = 49,295.65/x
  3. Step 3: Cross multiply
    85,107.77x = 117,430.92 × 49,295.65
  4. Step 4: Simplify right side
    85,107.77x = 5,788,832,944.34
  5. Step 5: Solve for x
    x = 5,788,832,944.34/85,107.77
  6. Step 6: Final answer
    x = 68,017.68

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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.