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Finding the Fourth Proportional to 81,215, 112,107.24 and 61,130

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Solution

The fourth proportional to 81,215, 112,107.24 and 61,130 is: 84,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,215 : 112,107.24 = 61,130 : x
  2. Step 2: Convert to fraction form
    81,215/112,107.24 = 61,130/x
  3. Step 3: Cross multiply
    81,215x = 112,107.24 × 61,130
  4. Step 4: Simplify right side
    81,215x = 6,853,115,581.20
  5. Step 5: Solve for x
    x = 6,853,115,581.20/81,215
  6. Step 6: Final answer
    x = 84,382.39

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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.