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Finding the Fourth Proportional to 70,627.12, 105,866.84 and 51,879.28

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Solution

The fourth proportional to 70,627.12, 105,866.84 and 51,879.28 is: 77,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,627.12 : 105,866.84 = 51,879.28 : x
  2. Step 2: Convert to fraction form
    70,627.12/105,866.84 = 51,879.28/x
  3. Step 3: Cross multiply
    70,627.12x = 105,866.84 × 51,879.28
  4. Step 4: Simplify right side
    70,627.12x = 5,492,295,435.08
  5. Step 5: Solve for x
    x = 5,492,295,435.08/70,627.12
  6. Step 6: Final answer
    x = 77,764.68

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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.