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Finding the Fourth Proportional to 81,405.87, 122,187.62 and 39,315.53

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Solution

The fourth proportional to 81,405.87, 122,187.62 and 39,315.53 is: 59,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.87 : 122,187.62 = 39,315.53 : x
  2. Step 2: Convert to fraction form
    81,405.87/122,187.62 = 39,315.53/x
  3. Step 3: Cross multiply
    81,405.87x = 122,187.62 × 39,315.53
  4. Step 4: Simplify right side
    81,405.87x = 4,803,871,443.50
  5. Step 5: Solve for x
    x = 4,803,871,443.50/81,405.87
  6. Step 6: Final answer
    x = 59,011.37

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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.