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Finding the Fourth Proportional to 189,136.71, 261,000.80 and 103,093.80

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Solution

The fourth proportional to 189,136.71, 261,000.80 and 103,093.80 is: 142,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,136.71 : 261,000.80 = 103,093.80 : x
  2. Step 2: Convert to fraction form
    189,136.71/261,000.80 = 103,093.80/x
  3. Step 3: Cross multiply
    189,136.71x = 261,000.80 × 103,093.80
  4. Step 4: Simplify right side
    189,136.71x = 26,907,563,425.15
  5. Step 5: Solve for x
    x = 26,907,563,425.15/189,136.71
  6. Step 6: Final answer
    x = 142,265.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.