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Finding the Fourth Proportional to 66,643.74, 91,997.91 and 41,509.98

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Solution

The fourth proportional to 66,643.74, 91,997.91 and 41,509.98 is: 57,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,643.74 : 91,997.91 = 41,509.98 : x
  2. Step 2: Convert to fraction form
    66,643.74/91,997.91 = 41,509.98/x
  3. Step 3: Cross multiply
    66,643.74x = 91,997.91 × 41,509.98
  4. Step 4: Simplify right side
    66,643.74x = 3,818,831,404.14
  5. Step 5: Solve for x
    x = 3,818,831,404.14/66,643.74
  6. Step 6: Final answer
    x = 57,302.18

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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.