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Finding the Fourth Proportional to 81,431.50, 112,381.98 and 47,903.98

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Solution

The fourth proportional to 81,431.50, 112,381.98 and 47,903.98 is: 66,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,431.50 : 112,381.98 = 47,903.98 : x
  2. Step 2: Convert to fraction form
    81,431.50/112,381.98 = 47,903.98/x
  3. Step 3: Cross multiply
    81,431.50x = 112,381.98 × 47,903.98
  4. Step 4: Simplify right side
    81,431.50x = 5,383,544,122.28
  5. Step 5: Solve for x
    x = 5,383,544,122.28/81,431.50
  6. Step 6: Final answer
    x = 66,111.32

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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.