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Finding the Fourth Proportional to 193,685, 290,538.48 and 69,026

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Solution

The fourth proportional to 193,685, 290,538.48 and 69,026 is: 103,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,685 : 290,538.48 = 69,026 : x
  2. Step 2: Convert to fraction form
    193,685/290,538.48 = 69,026/x
  3. Step 3: Cross multiply
    193,685x = 290,538.48 × 69,026
  4. Step 4: Simplify right side
    193,685x = 20,054,709,120.48
  5. Step 5: Solve for x
    x = 20,054,709,120.48/193,685
  6. Step 6: Final answer
    x = 103,542.91

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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.