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Finding the Fourth Proportional to 70,069.86, 105,135.66 and 36,781.74

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Solution

The fourth proportional to 70,069.86, 105,135.66 and 36,781.74 is: 55,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,069.86 : 105,135.66 = 36,781.74 : x
  2. Step 2: Convert to fraction form
    70,069.86/105,135.66 = 36,781.74/x
  3. Step 3: Cross multiply
    70,069.86x = 105,135.66 × 36,781.74
  4. Step 4: Simplify right side
    70,069.86x = 3,867,072,510.85
  5. Step 5: Solve for x
    x = 3,867,072,510.85/70,069.86
  6. Step 6: Final answer
    x = 55,188.81

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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.