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Finding the Fourth Proportional to 70,695.76, 105,812.86 and 51,970.84

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Solution

The fourth proportional to 70,695.76, 105,812.86 and 51,970.84 is: 77,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,695.76 : 105,812.86 = 51,970.84 : x
  2. Step 2: Convert to fraction form
    70,695.76/105,812.86 = 51,970.84/x
  3. Step 3: Cross multiply
    70,695.76x = 105,812.86 × 51,970.84
  4. Step 4: Simplify right side
    70,695.76x = 5,499,183,217.00
  5. Step 5: Solve for x
    x = 5,499,183,217.00/70,695.76
  6. Step 6: Final answer
    x = 77,786.61

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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.