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Finding the Fourth Proportional to 78,413.19, 117,622.09 and 19,248.86

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Solution

The fourth proportional to 78,413.19, 117,622.09 and 19,248.86 is: 28,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.19 : 117,622.09 = 19,248.86 : x
  2. Step 2: Convert to fraction form
    78,413.19/117,622.09 = 19,248.86/x
  3. Step 3: Cross multiply
    78,413.19x = 117,622.09 × 19,248.86
  4. Step 4: Simplify right side
    78,413.19x = 2,264,090,691.53
  5. Step 5: Solve for x
    x = 2,264,090,691.53/78,413.19
  6. Step 6: Final answer
    x = 28,873.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.