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Finding the Fourth Proportional to 78,406.16, 117,609 and 31,658.48

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Solution

The fourth proportional to 78,406.16, 117,609 and 31,658.48 is: 47,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.16 : 117,609 = 31,658.48 : x
  2. Step 2: Convert to fraction form
    78,406.16/117,609 = 31,658.48/x
  3. Step 3: Cross multiply
    78,406.16x = 117,609 × 31,658.48
  4. Step 4: Simplify right side
    78,406.16x = 3,723,322,174.32
  5. Step 5: Solve for x
    x = 3,723,322,174.32/78,406.16
  6. Step 6: Final answer
    x = 47,487.62

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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.