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Finding the Fourth Proportional to 86,585.82, 129,886.15 and 30,421.09

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Solution

The fourth proportional to 86,585.82, 129,886.15 and 30,421.09 is: 45,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585.82 : 129,886.15 = 30,421.09 : x
  2. Step 2: Convert to fraction form
    86,585.82/129,886.15 = 30,421.09/x
  3. Step 3: Cross multiply
    86,585.82x = 129,886.15 × 30,421.09
  4. Step 4: Simplify right side
    86,585.82x = 3,951,278,258.90
  5. Step 5: Solve for x
    x = 3,951,278,258.90/86,585.82
  6. Step 6: Final answer
    x = 45,634.24

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1.5x scale

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.