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Finding the Fourth Proportional to 69,897.83, 104,850.20 and 19,985.27

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Solution

The fourth proportional to 69,897.83, 104,850.20 and 19,985.27 is: 29,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,897.83 : 104,850.20 = 19,985.27 : x
  2. Step 2: Convert to fraction form
    69,897.83/104,850.20 = 19,985.27/x
  3. Step 3: Cross multiply
    69,897.83x = 104,850.20 × 19,985.27
  4. Step 4: Simplify right side
    69,897.83x = 2,095,459,556.55
  5. Step 5: Solve for x
    x = 2,095,459,556.55/69,897.83
  6. Step 6: Final answer
    x = 29,978.89

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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.