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Finding the Fourth Proportional to 78,170.91, 117,413.25 and 46,642.50

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Solution

The fourth proportional to 78,170.91, 117,413.25 and 46,642.50 is: 70,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170.91 : 117,413.25 = 46,642.50 : x
  2. Step 2: Convert to fraction form
    78,170.91/117,413.25 = 46,642.50/x
  3. Step 3: Cross multiply
    78,170.91x = 117,413.25 × 46,642.50
  4. Step 4: Simplify right side
    78,170.91x = 5,476,447,513.13
  5. Step 5: Solve for x
    x = 5,476,447,513.13/78,170.91
  6. Step 6: Final answer
    x = 70,057.36

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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.