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Finding the Fourth Proportional to 78,322.74, 108,059.66 and 44,327.86

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Solution

The fourth proportional to 78,322.74, 108,059.66 and 44,327.86 is: 61,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.74 : 108,059.66 = 44,327.86 : x
  2. Step 2: Convert to fraction form
    78,322.74/108,059.66 = 44,327.86/x
  3. Step 3: Cross multiply
    78,322.74x = 108,059.66 × 44,327.86
  4. Step 4: Simplify right side
    78,322.74x = 4,790,053,480.13
  5. Step 5: Solve for x
    x = 4,790,053,480.13/78,322.74
  6. Step 6: Final answer
    x = 61,157.89

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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.