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Finding the Fourth Proportional to 69,878.74, 96,431.42 and 38,047.10

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Solution

The fourth proportional to 69,878.74, 96,431.42 and 38,047.10 is: 52,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.74 : 96,431.42 = 38,047.10 : x
  2. Step 2: Convert to fraction form
    69,878.74/96,431.42 = 38,047.10/x
  3. Step 3: Cross multiply
    69,878.74x = 96,431.42 × 38,047.10
  4. Step 4: Simplify right side
    69,878.74x = 3,668,935,879.88
  5. Step 5: Solve for x
    x = 3,668,935,879.88/69,878.74
  6. Step 6: Final answer
    x = 52,504.32

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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.