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Finding the Fourth Proportional to 81,285.17, 121,915.17 and 31,357.98

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Solution

The fourth proportional to 81,285.17, 121,915.17 and 31,357.98 is: 47,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,285.17 : 121,915.17 = 31,357.98 : x
  2. Step 2: Convert to fraction form
    81,285.17/121,915.17 = 31,357.98/x
  3. Step 3: Cross multiply
    81,285.17x = 121,915.17 × 31,357.98
  4. Step 4: Simplify right side
    81,285.17x = 3,823,013,462.56
  5. Step 5: Solve for x
    x = 3,823,013,462.56/81,285.17
  6. Step 6: Final answer
    x = 47,032.12

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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.