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Finding the Fourth Proportional to 78,172.74, 107,878.77 and 44,187.30

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Solution

The fourth proportional to 78,172.74, 107,878.77 and 44,187.30 is: 60,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172.74 : 107,878.77 = 44,187.30 : x
  2. Step 2: Convert to fraction form
    78,172.74/107,878.77 = 44,187.30/x
  3. Step 3: Cross multiply
    78,172.74x = 107,878.77 × 44,187.30
  4. Step 4: Simplify right side
    78,172.74x = 4,766,871,573.62
  5. Step 5: Solve for x
    x = 4,766,871,573.62/78,172.74
  6. Step 6: Final answer
    x = 60,978.69

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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.