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Finding the Fourth Proportional to 69,898.32, 96,462 and 39,684.96

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Solution

The fourth proportional to 69,898.32, 96,462 and 39,684.96 is: 54,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,898.32 : 96,462 = 39,684.96 : x
  2. Step 2: Convert to fraction form
    69,898.32/96,462 = 39,684.96/x
  3. Step 3: Cross multiply
    69,898.32x = 96,462 × 39,684.96
  4. Step 4: Simplify right side
    69,898.32x = 3,828,090,611.52
  5. Step 5: Solve for x
    x = 3,828,090,611.52/69,898.32
  6. Step 6: Final answer
    x = 54,766.56

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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.