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Finding the Fourth Proportional to 78,413.80, 117,620.70 and 59,751.40

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Solution

The fourth proportional to 78,413.80, 117,620.70 and 59,751.40 is: 89,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.80 : 117,620.70 = 59,751.40 : x
  2. Step 2: Convert to fraction form
    78,413.80/117,620.70 = 59,751.40/x
  3. Step 3: Cross multiply
    78,413.80x = 117,620.70 × 59,751.40
  4. Step 4: Simplify right side
    78,413.80x = 7,028,001,493.98
  5. Step 5: Solve for x
    x = 7,028,001,493.98/78,413.80
  6. Step 6: Final answer
    x = 89,627.10

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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.