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Finding the Fourth Proportional to 78,965.28, 108,977.28 and 44,518.50

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Solution

The fourth proportional to 78,965.28, 108,977.28 and 44,518.50 is: 61,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,965.28 : 108,977.28 = 44,518.50 : x
  2. Step 2: Convert to fraction form
    78,965.28/108,977.28 = 44,518.50/x
  3. Step 3: Cross multiply
    78,965.28x = 108,977.28 × 44,518.50
  4. Step 4: Simplify right side
    78,965.28x = 4,851,505,039.68
  5. Step 5: Solve for x
    x = 4,851,505,039.68/78,965.28
  6. Step 6: Final answer
    x = 61,438.46

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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.