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Finding the Fourth Proportional to 83,826, 115,610.76 and 50,268.24

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Solution

The fourth proportional to 83,826, 115,610.76 and 50,268.24 is: 69,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,826 : 115,610.76 = 50,268.24 : x
  2. Step 2: Convert to fraction form
    83,826/115,610.76 = 50,268.24/x
  3. Step 3: Cross multiply
    83,826x = 115,610.76 × 50,268.24
  4. Step 4: Simplify right side
    83,826x = 5,811,549,430.26
  5. Step 5: Solve for x
    x = 5,811,549,430.26/83,826
  6. Step 6: Final answer
    x = 69,328.72

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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.