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Finding the Fourth Proportional to 81,406.40, 122,012.40 and 41,943.20

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Solution

The fourth proportional to 81,406.40, 122,012.40 and 41,943.20 is: 62,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.40 : 122,012.40 = 41,943.20 : x
  2. Step 2: Convert to fraction form
    81,406.40/122,012.40 = 41,943.20/x
  3. Step 3: Cross multiply
    81,406.40x = 122,012.40 × 41,943.20
  4. Step 4: Simplify right side
    81,406.40x = 5,117,590,495.68
  5. Step 5: Solve for x
    x = 5,117,590,495.68/81,406.40
  6. Step 6: Final answer
    x = 62,864.72

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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.