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Finding the Fourth Proportional to 193,681.50, 290,533.20 and 69,022.50

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Solution

The fourth proportional to 193,681.50, 290,533.20 and 69,022.50 is: 103,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,681.50 : 290,533.20 = 69,022.50 : x
  2. Step 2: Convert to fraction form
    193,681.50/290,533.20 = 69,022.50/x
  3. Step 3: Cross multiply
    193,681.50x = 290,533.20 × 69,022.50
  4. Step 4: Simplify right side
    193,681.50x = 20,053,327,797
  5. Step 5: Solve for x
    x = 20,053,327,797/193,681.50
  6. Step 6: Final answer
    x = 103,537.65

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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.