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Finding the Fourth Proportional to 71,121.78, 106,898.64 and 47,513.10

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Solution

The fourth proportional to 71,121.78, 106,898.64 and 47,513.10 is: 71,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,121.78 : 106,898.64 = 47,513.10 : x
  2. Step 2: Convert to fraction form
    71,121.78/106,898.64 = 47,513.10/x
  3. Step 3: Cross multiply
    71,121.78x = 106,898.64 × 47,513.10
  4. Step 4: Simplify right side
    71,121.78x = 5,079,085,772.18
  5. Step 5: Solve for x
    x = 5,079,085,772.18/71,121.78
  6. Step 6: Final answer
    x = 71,413.93

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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.