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Finding the Fourth Proportional to 78,829.80, 108,785.94 and 43,019.40

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Solution

The fourth proportional to 78,829.80, 108,785.94 and 43,019.40 is: 59,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829.80 : 108,785.94 = 43,019.40 : x
  2. Step 2: Convert to fraction form
    78,829.80/108,785.94 = 43,019.40/x
  3. Step 3: Cross multiply
    78,829.80x = 108,785.94 × 43,019.40
  4. Step 4: Simplify right side
    78,829.80x = 4,679,905,867.24
  5. Step 5: Solve for x
    x = 4,679,905,867.24/78,829.80
  6. Step 6: Final answer
    x = 59,367.22

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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.