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Finding the Fourth Proportional to 145,163.63, 217,745.45 and 39,982.59

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Solution

The fourth proportional to 145,163.63, 217,745.45 and 39,982.59 is: 59,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,163.63 : 217,745.45 = 39,982.59 : x
  2. Step 2: Convert to fraction form
    145,163.63/217,745.45 = 39,982.59/x
  3. Step 3: Cross multiply
    145,163.63x = 217,745.45 × 39,982.59
  4. Step 4: Simplify right side
    145,163.63x = 8,706,026,851.80
  5. Step 5: Solve for x
    x = 8,706,026,851.80/145,163.63
  6. Step 6: Final answer
    x = 59,973.89

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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.