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Finding the Fourth Proportional to 78,771.69, 108,703.62 and 42,959.57

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Solution

The fourth proportional to 78,771.69, 108,703.62 and 42,959.57 is: 59,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,771.69 : 108,703.62 = 42,959.57 : x
  2. Step 2: Convert to fraction form
    78,771.69/108,703.62 = 42,959.57/x
  3. Step 3: Cross multiply
    78,771.69x = 108,703.62 × 42,959.57
  4. Step 4: Simplify right side
    78,771.69x = 4,669,860,229.13
  5. Step 5: Solve for x
    x = 4,669,860,229.13/78,771.69
  6. Step 6: Final answer
    x = 59,283.48

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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.