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Finding the Fourth Proportional to 78,584.96, 108,448.80 and 61,609.52

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Solution

The fourth proportional to 78,584.96, 108,448.80 and 61,609.52 is: 85,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584.96 : 108,448.80 = 61,609.52 : x
  2. Step 2: Convert to fraction form
    78,584.96/108,448.80 = 61,609.52/x
  3. Step 3: Cross multiply
    78,584.96x = 108,448.80 × 61,609.52
  4. Step 4: Simplify right side
    78,584.96x = 6,681,478,512.58
  5. Step 5: Solve for x
    x = 6,681,478,512.58/78,584.96
  6. Step 6: Final answer
    x = 85,022.36

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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.