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Finding the Fourth Proportional to 83,413.81, 115,109.76 and 47,602.90

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Solution

The fourth proportional to 83,413.81, 115,109.76 and 47,602.90 is: 65,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413.81 : 115,109.76 = 47,602.90 : x
  2. Step 2: Convert to fraction form
    83,413.81/115,109.76 = 47,602.90/x
  3. Step 3: Cross multiply
    83,413.81x = 115,109.76 × 47,602.90
  4. Step 4: Simplify right side
    83,413.81x = 5,479,558,394.30
  5. Step 5: Solve for x
    x = 5,479,558,394.30/83,413.81
  6. Step 6: Final answer
    x = 65,691.26

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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.