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Finding the Fourth Proportional to 86,406.86, 129,563.39 and 38,966.44

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Solution

The fourth proportional to 86,406.86, 129,563.39 and 38,966.44 is: 58,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406.86 : 129,563.39 = 38,966.44 : x
  2. Step 2: Convert to fraction form
    86,406.86/129,563.39 = 38,966.44/x
  3. Step 3: Cross multiply
    86,406.86x = 129,563.39 × 38,966.44
  4. Step 4: Simplify right side
    86,406.86x = 5,048,624,191.71
  5. Step 5: Solve for x
    x = 5,048,624,191.71/86,406.86
  6. Step 6: Final answer
    x = 58,428.51

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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.