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Finding the Fourth Proportional to 66,523.66, 99,802.05 and 19,775.26

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Solution

The fourth proportional to 66,523.66, 99,802.05 and 19,775.26 is: 29,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,523.66 : 99,802.05 = 19,775.26 : x
  2. Step 2: Convert to fraction form
    66,523.66/99,802.05 = 19,775.26/x
  3. Step 3: Cross multiply
    66,523.66x = 99,802.05 × 19,775.26
  4. Step 4: Simplify right side
    66,523.66x = 1,973,611,487.28
  5. Step 5: Solve for x
    x = 1,973,611,487.28/66,523.66
  6. Step 6: Final answer
    x = 29,667.81

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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.