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Finding the Fourth Proportional to 81,902.28, 113,038.92 and 47,442

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Solution

The fourth proportional to 81,902.28, 113,038.92 and 47,442 is: 65,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.28 : 113,038.92 = 47,442 : x
  2. Step 2: Convert to fraction form
    81,902.28/113,038.92 = 47,442/x
  3. Step 3: Cross multiply
    81,902.28x = 113,038.92 × 47,442
  4. Step 4: Simplify right side
    81,902.28x = 5,362,792,442.64
  5. Step 5: Solve for x
    x = 5,362,792,442.64/81,902.28
  6. Step 6: Final answer
    x = 65,477.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.