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Finding the Fourth Proportional to 78,223.70, 107,948.48 and 42,413.60

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Solution

The fourth proportional to 78,223.70, 107,948.48 and 42,413.60 is: 58,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.70 : 107,948.48 = 42,413.60 : x
  2. Step 2: Convert to fraction form
    78,223.70/107,948.48 = 42,413.60/x
  3. Step 3: Cross multiply
    78,223.70x = 107,948.48 × 42,413.60
  4. Step 4: Simplify right side
    78,223.70x = 4,578,483,651.33
  5. Step 5: Solve for x
    x = 4,578,483,651.33/78,223.70
  6. Step 6: Final answer
    x = 58,530.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.