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Finding the Fourth Proportional to 81,309.93, 112,194.23 and 47,782.41

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Solution

The fourth proportional to 81,309.93, 112,194.23 and 47,782.41 is: 65,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,309.93 : 112,194.23 = 47,782.41 : x
  2. Step 2: Convert to fraction form
    81,309.93/112,194.23 = 47,782.41/x
  3. Step 3: Cross multiply
    81,309.93x = 112,194.23 × 47,782.41
  4. Step 4: Simplify right side
    81,309.93x = 5,360,910,458.58
  5. Step 5: Solve for x
    x = 5,360,910,458.58/81,309.93
  6. Step 6: Final answer
    x = 65,931.81

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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.