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Finding the Fourth Proportional to 76,138.86, 105,071.85 and 41,213.49

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Solution

The fourth proportional to 76,138.86, 105,071.85 and 41,213.49 is: 56,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138.86 : 105,071.85 = 41,213.49 : x
  2. Step 2: Convert to fraction form
    76,138.86/105,071.85 = 41,213.49/x
  3. Step 3: Cross multiply
    76,138.86x = 105,071.85 × 41,213.49
  4. Step 4: Simplify right side
    76,138.86x = 4,330,377,639.26
  5. Step 5: Solve for x
    x = 4,330,377,639.26/76,138.86
  6. Step 6: Final answer
    x = 56,874.74

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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.