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Finding the Fourth Proportional to 83,656.40, 115,450.44 and 47,847.92

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Solution

The fourth proportional to 83,656.40, 115,450.44 and 47,847.92 is: 66,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656.40 : 115,450.44 = 47,847.92 : x
  2. Step 2: Convert to fraction form
    83,656.40/115,450.44 = 47,847.92/x
  3. Step 3: Cross multiply
    83,656.40x = 115,450.44 × 47,847.92
  4. Step 4: Simplify right side
    83,656.40x = 5,524,063,417.08
  5. Step 5: Solve for x
    x = 5,524,063,417.08/83,656.40
  6. Step 6: Final answer
    x = 66,032.77

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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.