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Finding the Fourth Proportional to 78,413.28, 108,153.12 and 49,741.68

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Solution

The fourth proportional to 78,413.28, 108,153.12 and 49,741.68 is: 68,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.28 : 108,153.12 = 49,741.68 : x
  2. Step 2: Convert to fraction form
    78,413.28/108,153.12 = 49,741.68/x
  3. Step 3: Cross multiply
    78,413.28x = 108,153.12 × 49,741.68
  4. Step 4: Simplify right side
    78,413.28x = 5,379,717,886.04
  5. Step 5: Solve for x
    x = 5,379,717,886.04/78,413.28
  6. Step 6: Final answer
    x = 68,607.23

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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.