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Finding the Fourth Proportional to 71,781.80, 99,058.02 and 41,973.80

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Solution

The fourth proportional to 71,781.80, 99,058.02 and 41,973.80 is: 57,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.80 : 99,058.02 = 41,973.80 : x
  2. Step 2: Convert to fraction form
    71,781.80/99,058.02 = 41,973.80/x
  3. Step 3: Cross multiply
    71,781.80x = 99,058.02 × 41,973.80
  4. Step 4: Simplify right side
    71,781.80x = 4,157,841,519.88
  5. Step 5: Solve for x
    x = 4,157,841,519.88/71,781.80
  6. Step 6: Final answer
    x = 57,923.34

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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.