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Finding the Fourth Proportional to 86,019.29, 129,029.37 and 26,850

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Solution

The fourth proportional to 86,019.29, 129,029.37 and 26,850 is: 40,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,019.29 : 129,029.37 = 26,850 : x
  2. Step 2: Convert to fraction form
    86,019.29/129,029.37 = 26,850/x
  3. Step 3: Cross multiply
    86,019.29x = 129,029.37 × 26,850
  4. Step 4: Simplify right side
    86,019.29x = 3,464,438,584.50
  5. Step 5: Solve for x
    x = 3,464,438,584.50/86,019.29
  6. Step 6: Final answer
    x = 40,275.14

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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.