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Finding the Fourth Proportional to 64,641.24, 89,166.24 and 39,447

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Solution

The fourth proportional to 64,641.24, 89,166.24 and 39,447 is: 54,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,641.24 : 89,166.24 = 39,447 : x
  2. Step 2: Convert to fraction form
    64,641.24/89,166.24 = 39,447/x
  3. Step 3: Cross multiply
    64,641.24x = 89,166.24 × 39,447
  4. Step 4: Simplify right side
    64,641.24x = 3,517,340,669.28
  5. Step 5: Solve for x
    x = 3,517,340,669.28/64,641.24
  6. Step 6: Final answer
    x = 54,413.26

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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.