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Finding the Fourth Proportional to 83,898, 115,760.16 and 61,249.32

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Solution

The fourth proportional to 83,898, 115,760.16 and 61,249.32 is: 84,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898 : 115,760.16 = 61,249.32 : x
  2. Step 2: Convert to fraction form
    83,898/115,760.16 = 61,249.32/x
  3. Step 3: Cross multiply
    83,898x = 115,760.16 × 61,249.32
  4. Step 4: Simplify right side
    83,898x = 7,090,231,083.09
  5. Step 5: Solve for x
    x = 7,090,231,083.09/83,898
  6. Step 6: Final answer
    x = 84,510.13

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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.