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Finding the Fourth Proportional to 81,844.80, 122,767.20 and 59,812.80

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Solution

The fourth proportional to 81,844.80, 122,767.20 and 59,812.80 is: 89,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,844.80 : 122,767.20 = 59,812.80 : x
  2. Step 2: Convert to fraction form
    81,844.80/122,767.20 = 59,812.80/x
  3. Step 3: Cross multiply
    81,844.80x = 122,767.20 × 59,812.80
  4. Step 4: Simplify right side
    81,844.80x = 7,343,049,980.16
  5. Step 5: Solve for x
    x = 7,343,049,980.16/81,844.80
  6. Step 6: Final answer
    x = 89,719.20

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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.