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Finding the Fourth Proportional to 74,767.82, 112,118.93 and 27,987.89

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Solution

The fourth proportional to 74,767.82, 112,118.93 and 27,987.89 is: 41,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,767.82 : 112,118.93 = 27,987.89 : x
  2. Step 2: Convert to fraction form
    74,767.82/112,118.93 = 27,987.89/x
  3. Step 3: Cross multiply
    74,767.82x = 112,118.93 × 27,987.89
  4. Step 4: Simplify right side
    74,767.82x = 3,137,972,420.12
  5. Step 5: Solve for x
    x = 3,137,972,420.12/74,767.82
  6. Step 6: Final answer
    x = 41,969.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.