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Finding the Fourth Proportional to 78,170.82, 117,413.13 and 46,642.40

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Solution

The fourth proportional to 78,170.82, 117,413.13 and 46,642.40 is: 70,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170.82 : 117,413.13 = 46,642.40 : x
  2. Step 2: Convert to fraction form
    78,170.82/117,413.13 = 46,642.40/x
  3. Step 3: Cross multiply
    78,170.82x = 117,413.13 × 46,642.40
  4. Step 4: Simplify right side
    78,170.82x = 5,476,429,940.49
  5. Step 5: Solve for x
    x = 5,476,429,940.49/78,170.82
  6. Step 6: Final answer
    x = 70,057.21

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1.5x scale

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.