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Finding the Fourth Proportional to 71,068.54, 106,580.12 and 28,948.54

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Solution

The fourth proportional to 71,068.54, 106,580.12 and 28,948.54 is: 43,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,068.54 : 106,580.12 = 28,948.54 : x
  2. Step 2: Convert to fraction form
    71,068.54/106,580.12 = 28,948.54/x
  3. Step 3: Cross multiply
    71,068.54x = 106,580.12 × 28,948.54
  4. Step 4: Simplify right side
    71,068.54x = 3,085,338,334.12
  5. Step 5: Solve for x
    x = 3,085,338,334.12/71,068.54
  6. Step 6: Final answer
    x = 43,413.56

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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.