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Finding the Fourth Proportional to 86,561.34, 129,857.81 and 39,813

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Solution

The fourth proportional to 86,561.34, 129,857.81 and 39,813 is: 59,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,561.34 : 129,857.81 = 39,813 : x
  2. Step 2: Convert to fraction form
    86,561.34/129,857.81 = 39,813/x
  3. Step 3: Cross multiply
    86,561.34x = 129,857.81 × 39,813
  4. Step 4: Simplify right side
    86,561.34x = 5,170,028,790.47
  5. Step 5: Solve for x
    x = 5,170,028,790.47/86,561.34
  6. Step 6: Final answer
    x = 59,726.76

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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.