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Finding the Fourth Proportional to 51,945.40, 71,695.79 and 32,813

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Solution

The fourth proportional to 51,945.40, 71,695.79 and 32,813 is: 45,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,945.40 : 71,695.79 = 32,813 : x
  2. Step 2: Convert to fraction form
    51,945.40/71,695.79 = 32,813/x
  3. Step 3: Cross multiply
    51,945.40x = 71,695.79 × 32,813
  4. Step 4: Simplify right side
    51,945.40x = 2,352,553,957.27
  5. Step 5: Solve for x
    x = 2,352,553,957.27/51,945.40
  6. Step 6: Final answer
    x = 45,288.98

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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.