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Finding the Fourth Proportional to 83,784.48, 115,605.14 and 49,804.98

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Solution

The fourth proportional to 83,784.48, 115,605.14 and 49,804.98 is: 68,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784.48 : 115,605.14 = 49,804.98 : x
  2. Step 2: Convert to fraction form
    83,784.48/115,605.14 = 49,804.98/x
  3. Step 3: Cross multiply
    83,784.48x = 115,605.14 × 49,804.98
  4. Step 4: Simplify right side
    83,784.48x = 5,757,711,436.57
  5. Step 5: Solve for x
    x = 5,757,711,436.57/83,784.48
  6. Step 6: Final answer
    x = 68,720.50

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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.