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Finding the Fourth Proportional to 69,130.96, 103,695.76 and 31,680.40

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Solution

The fourth proportional to 69,130.96, 103,695.76 and 31,680.40 is: 47,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,130.96 : 103,695.76 = 31,680.40 : x
  2. Step 2: Convert to fraction form
    69,130.96/103,695.76 = 31,680.40/x
  3. Step 3: Cross multiply
    69,130.96x = 103,695.76 × 31,680.40
  4. Step 4: Simplify right side
    69,130.96x = 3,285,123,155.10
  5. Step 5: Solve for x
    x = 3,285,123,155.10/69,130.96
  6. Step 6: Final answer
    x = 47,520.29

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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.