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Finding the Fourth Proportional to 78,137.83, 107,824.88 and 44,147.74

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Solution

The fourth proportional to 78,137.83, 107,824.88 and 44,147.74 is: 60,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.83 : 107,824.88 = 44,147.74 : x
  2. Step 2: Convert to fraction form
    78,137.83/107,824.88 = 44,147.74/x
  3. Step 3: Cross multiply
    78,137.83x = 107,824.88 × 44,147.74
  4. Step 4: Simplify right side
    78,137.83x = 4,760,224,767.77
  5. Step 5: Solve for x
    x = 4,760,224,767.77/78,137.83
  6. Step 6: Final answer
    x = 60,920.87

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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.