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Finding the Fourth Proportional to 189,648.50, 261,692.62 and 104,760.50

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Solution

The fourth proportional to 189,648.50, 261,692.62 and 104,760.50 is: 144,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648.50 : 261,692.62 = 104,760.50 : x
  2. Step 2: Convert to fraction form
    189,648.50/261,692.62 = 104,760.50/x
  3. Step 3: Cross multiply
    189,648.50x = 261,692.62 × 104,760.50
  4. Step 4: Simplify right side
    189,648.50x = 27,415,049,717.51
  5. Step 5: Solve for x
    x = 27,415,049,717.51/189,648.50
  6. Step 6: Final answer
    x = 144,557.17

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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.