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Finding the Fourth Proportional to 81,837, 122,784.30 and 40,313.16

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Solution

The fourth proportional to 81,837, 122,784.30 and 40,313.16 is: 60,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,837 : 122,784.30 = 40,313.16 : x
  2. Step 2: Convert to fraction form
    81,837/122,784.30 = 40,313.16/x
  3. Step 3: Cross multiply
    81,837x = 122,784.30 × 40,313.16
  4. Step 4: Simplify right side
    81,837x = 4,949,823,131.39
  5. Step 5: Solve for x
    x = 4,949,823,131.39/81,837
  6. Step 6: Final answer
    x = 60,483.93

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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.