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Finding the Fourth Proportional to 78,774.67, 108,706.48 and 42,965.38

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Solution

The fourth proportional to 78,774.67, 108,706.48 and 42,965.38 is: 59,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774.67 : 108,706.48 = 42,965.38 : x
  2. Step 2: Convert to fraction form
    78,774.67/108,706.48 = 42,965.38/x
  3. Step 3: Cross multiply
    78,774.67x = 108,706.48 × 42,965.38
  4. Step 4: Simplify right side
    78,774.67x = 4,670,615,221.66
  5. Step 5: Solve for x
    x = 4,670,615,221.66/78,774.67
  6. Step 6: Final answer
    x = 59,290.83

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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.