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Finding the Fourth Proportional to 105,122.80, 157,679.76 and 48,943.60

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Solution

The fourth proportional to 105,122.80, 157,679.76 and 48,943.60 is: 73,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,122.80 : 157,679.76 = 48,943.60 : x
  2. Step 2: Convert to fraction form
    105,122.80/157,679.76 = 48,943.60/x
  3. Step 3: Cross multiply
    105,122.80x = 157,679.76 × 48,943.60
  4. Step 4: Simplify right side
    105,122.80x = 7,717,415,101.54
  5. Step 5: Solve for x
    x = 7,717,415,101.54/105,122.80
  6. Step 6: Final answer
    x = 73,413.33

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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.