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Finding the Fourth Proportional to 54,315.30, 81,472.95 and 47,025.30

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Solution

The fourth proportional to 54,315.30, 81,472.95 and 47,025.30 is: 70,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315.30 : 81,472.95 = 47,025.30 : x
  2. Step 2: Convert to fraction form
    54,315.30/81,472.95 = 47,025.30/x
  3. Step 3: Cross multiply
    54,315.30x = 81,472.95 × 47,025.30
  4. Step 4: Simplify right side
    54,315.30x = 3,831,289,915.64
  5. Step 5: Solve for x
    x = 3,831,289,915.64/54,315.30
  6. Step 6: Final answer
    x = 70,537.95

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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.