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Finding the Fourth Proportional to 78,496.20, 108,322.50 and 44,507.88

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Solution

The fourth proportional to 78,496.20, 108,322.50 and 44,507.88 is: 61,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.20 : 108,322.50 = 44,507.88 : x
  2. Step 2: Convert to fraction form
    78,496.20/108,322.50 = 44,507.88/x
  3. Step 3: Cross multiply
    78,496.20x = 108,322.50 × 44,507.88
  4. Step 4: Simplify right side
    78,496.20x = 4,821,204,831.30
  5. Step 5: Solve for x
    x = 4,821,204,831.30/78,496.20
  6. Step 6: Final answer
    x = 61,419.60

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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.