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Finding the Fourth Proportional to 231,563.93, 347,164.45 and 91,427.45

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Solution

The fourth proportional to 231,563.93, 347,164.45 and 91,427.45 is: 137,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,563.93 : 347,164.45 = 91,427.45 : x
  2. Step 2: Convert to fraction form
    231,563.93/347,164.45 = 91,427.45/x
  3. Step 3: Cross multiply
    231,563.93x = 347,164.45 × 91,427.45
  4. Step 4: Simplify right side
    231,563.93x = 31,740,358,429.76
  5. Step 5: Solve for x
    x = 31,740,358,429.76/231,563.93
  6. Step 6: Final answer
    x = 137,069.53

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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.