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Finding the Fourth Proportional to 73,906.90, 101,991.62 and 42,075.81

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Solution

The fourth proportional to 73,906.90, 101,991.62 and 42,075.81 is: 58,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,906.90 : 101,991.62 = 42,075.81 : x
  2. Step 2: Convert to fraction form
    73,906.90/101,991.62 = 42,075.81/x
  3. Step 3: Cross multiply
    73,906.90x = 101,991.62 × 42,075.81
  4. Step 4: Simplify right side
    73,906.90x = 4,291,380,129.90
  5. Step 5: Solve for x
    x = 4,291,380,129.90/73,906.90
  6. Step 6: Final answer
    x = 58,064.68

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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.