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Finding the Fourth Proportional to 110,090.88, 165,136.32 and 47,760

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Solution

The fourth proportional to 110,090.88, 165,136.32 and 47,760 is: 71,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,090.88 : 165,136.32 = 47,760 : x
  2. Step 2: Convert to fraction form
    110,090.88/165,136.32 = 47,760/x
  3. Step 3: Cross multiply
    110,090.88x = 165,136.32 × 47,760
  4. Step 4: Simplify right side
    110,090.88x = 7,886,910,643.20
  5. Step 5: Solve for x
    x = 7,886,910,643.20/110,090.88
  6. Step 6: Final answer
    x = 71,640

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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.