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Finding the Fourth Proportional to 189,735.50, 261,838.74 and 103,699.80

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Solution

The fourth proportional to 189,735.50, 261,838.74 and 103,699.80 is: 143,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.50 : 261,838.74 = 103,699.80 : x
  2. Step 2: Convert to fraction form
    189,735.50/261,838.74 = 103,699.80/x
  3. Step 3: Cross multiply
    189,735.50x = 261,838.74 × 103,699.80
  4. Step 4: Simplify right side
    189,735.50x = 27,152,624,970.25
  5. Step 5: Solve for x
    x = 27,152,624,970.25/189,735.50
  6. Step 6: Final answer
    x = 143,107.77

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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.