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Finding the Fourth Proportional to 81,873.75, 112,999.56 and 47,413.47

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Solution

The fourth proportional to 81,873.75, 112,999.56 and 47,413.47 is: 65,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,873.75 : 112,999.56 = 47,413.47 : x
  2. Step 2: Convert to fraction form
    81,873.75/112,999.56 = 47,413.47/x
  3. Step 3: Cross multiply
    81,873.75x = 112,999.56 × 47,413.47
  4. Step 4: Simplify right side
    81,873.75x = 5,357,701,248.07
  5. Step 5: Solve for x
    x = 5,357,701,248.07/81,873.75
  6. Step 6: Final answer
    x = 65,438.57

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1.5x scale

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.