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Finding the Fourth Proportional to 85,811.48, 118,413.87 and 47,570.66

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Solution

The fourth proportional to 85,811.48, 118,413.87 and 47,570.66 is: 65,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,811.48 : 118,413.87 = 47,570.66 : x
  2. Step 2: Convert to fraction form
    85,811.48/118,413.87 = 47,570.66/x
  3. Step 3: Cross multiply
    85,811.48x = 118,413.87 × 47,570.66
  4. Step 4: Simplify right side
    85,811.48x = 5,633,025,949.05
  5. Step 5: Solve for x
    x = 5,633,025,949.05/85,811.48
  6. Step 6: Final answer
    x = 65,644.20

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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.