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Finding the Fourth Proportional to 85,309.71, 117,726.62 and 47,069.61

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Solution

The fourth proportional to 85,309.71, 117,726.62 and 47,069.61 is: 64,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.71 : 117,726.62 = 47,069.61 : x
  2. Step 2: Convert to fraction form
    85,309.71/117,726.62 = 47,069.61/x
  3. Step 3: Cross multiply
    85,309.71x = 117,726.62 × 47,069.61
  4. Step 4: Simplify right side
    85,309.71x = 5,541,345,413.20
  5. Step 5: Solve for x
    x = 5,541,345,413.20/85,309.71
  6. Step 6: Final answer
    x = 64,955.63

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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.