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Finding the Fourth Proportional to 78,302.98, 108,058.89 and 42,493.33

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Solution

The fourth proportional to 78,302.98, 108,058.89 and 42,493.33 is: 58,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.98 : 108,058.89 = 42,493.33 : x
  2. Step 2: Convert to fraction form
    78,302.98/108,058.89 = 42,493.33/x
  3. Step 3: Cross multiply
    78,302.98x = 108,058.89 × 42,493.33
  4. Step 4: Simplify right side
    78,302.98x = 4,591,782,072.20
  5. Step 5: Solve for x
    x = 4,591,782,072.20/78,302.98
  6. Step 6: Final answer
    x = 58,641.22

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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.