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Finding the Fourth Proportional to 86,633.88, 129,873.06 and 31,191

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Solution

The fourth proportional to 86,633.88, 129,873.06 and 31,191 is: 46,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,633.88 : 129,873.06 = 31,191 : x
  2. Step 2: Convert to fraction form
    86,633.88/129,873.06 = 31,191/x
  3. Step 3: Cross multiply
    86,633.88x = 129,873.06 × 31,191
  4. Step 4: Simplify right side
    86,633.88x = 4,050,870,614.46
  5. Step 5: Solve for x
    x = 4,050,870,614.46/86,633.88
  6. Step 6: Final answer
    x = 46,758.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.