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Finding the Fourth Proportional to 57,065.94, 78,751.40 and 34,400.40

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Solution

The fourth proportional to 57,065.94, 78,751.40 and 34,400.40 is: 47,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,065.94 : 78,751.40 = 34,400.40 : x
  2. Step 2: Convert to fraction form
    57,065.94/78,751.40 = 34,400.40/x
  3. Step 3: Cross multiply
    57,065.94x = 78,751.40 × 34,400.40
  4. Step 4: Simplify right side
    57,065.94x = 2,709,079,660.56
  5. Step 5: Solve for x
    x = 2,709,079,660.56/57,065.94
  6. Step 6: Final answer
    x = 47,472.79

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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.