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Finding the Fourth Proportional to 82,111.48, 122,927.32 and 74,232.20

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Solution

The fourth proportional to 82,111.48, 122,927.32 and 74,232.20 is: 111,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.48 : 122,927.32 = 74,232.20 : x
  2. Step 2: Convert to fraction form
    82,111.48/122,927.32 = 74,232.20/x
  3. Step 3: Cross multiply
    82,111.48x = 122,927.32 × 74,232.20
  4. Step 4: Simplify right side
    82,111.48x = 9,125,165,803.81
  5. Step 5: Solve for x
    x = 9,125,165,803.81/82,111.48
  6. Step 6: Final answer
    x = 111,131.43

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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.