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Finding the Fourth Proportional to 81,460.50, 112,421.97 and 47,932.98

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Solution

The fourth proportional to 81,460.50, 112,421.97 and 47,932.98 is: 66,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460.50 : 112,421.97 = 47,932.98 : x
  2. Step 2: Convert to fraction form
    81,460.50/112,421.97 = 47,932.98/x
  3. Step 3: Cross multiply
    81,460.50x = 112,421.97 × 47,932.98
  4. Step 4: Simplify right side
    81,460.50x = 5,388,720,039.57
  5. Step 5: Solve for x
    x = 5,388,720,039.57/81,460.50
  6. Step 6: Final answer
    x = 66,151.33

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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.