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Finding the Fourth Proportional to 83,896.85, 115,776 and 45,655.79

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Solution

The fourth proportional to 83,896.85, 115,776 and 45,655.79 is: 63,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.85 : 115,776 = 45,655.79 : x
  2. Step 2: Convert to fraction form
    83,896.85/115,776 = 45,655.79/x
  3. Step 3: Cross multiply
    83,896.85x = 115,776 × 45,655.79
  4. Step 4: Simplify right side
    83,896.85x = 5,285,844,743.04
  5. Step 5: Solve for x
    x = 5,285,844,743.04/83,896.85
  6. Step 6: Final answer
    x = 63,004.09

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1.5x scale

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.