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Finding the Fourth Proportional to 78,475.20, 117,712.80 and 75,413.40

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Solution

The fourth proportional to 78,475.20, 117,712.80 and 75,413.40 is: 113,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475.20 : 117,712.80 = 75,413.40 : x
  2. Step 2: Convert to fraction form
    78,475.20/117,712.80 = 75,413.40/x
  3. Step 3: Cross multiply
    78,475.20x = 117,712.80 × 75,413.40
  4. Step 4: Simplify right side
    78,475.20x = 8,877,122,471.52
  5. Step 5: Solve for x
    x = 8,877,122,471.52/78,475.20
  6. Step 6: Final answer
    x = 113,120.10

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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.