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Finding the Fourth Proportional to 69,463.52, 104,055.72 and 31,971.20

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Solution

The fourth proportional to 69,463.52, 104,055.72 and 31,971.20 is: 47,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,463.52 : 104,055.72 = 31,971.20 : x
  2. Step 2: Convert to fraction form
    69,463.52/104,055.72 = 31,971.20/x
  3. Step 3: Cross multiply
    69,463.52x = 104,055.72 × 31,971.20
  4. Step 4: Simplify right side
    69,463.52x = 3,326,786,235.26
  5. Step 5: Solve for x
    x = 3,326,786,235.26/69,463.52
  6. Step 6: Final answer
    x = 47,892.57

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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.