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Finding the Fourth Proportional to 86,585.76, 129,839.76 and 39,852

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Solution

The fourth proportional to 86,585.76, 129,839.76 and 39,852 is: 59,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585.76 : 129,839.76 = 39,852 : x
  2. Step 2: Convert to fraction form
    86,585.76/129,839.76 = 39,852/x
  3. Step 3: Cross multiply
    86,585.76x = 129,839.76 × 39,852
  4. Step 4: Simplify right side
    86,585.76x = 5,174,374,115.52
  5. Step 5: Solve for x
    x = 5,174,374,115.52/86,585.76
  6. Step 6: Final answer
    x = 59,760.11

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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.