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Finding the Fourth Proportional to 70,652.32, 105,879.92 and 53,101.60

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Solution

The fourth proportional to 70,652.32, 105,879.92 and 53,101.60 is: 79,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652.32 : 105,879.92 = 53,101.60 : x
  2. Step 2: Convert to fraction form
    70,652.32/105,879.92 = 53,101.60/x
  3. Step 3: Cross multiply
    70,652.32x = 105,879.92 × 53,101.60
  4. Step 4: Simplify right side
    70,652.32x = 5,622,393,159.87
  5. Step 5: Solve for x
    x = 5,622,393,159.87/70,652.32
  6. Step 6: Final answer
    x = 79,578.32

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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.