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Finding the Fourth Proportional to 189,649.08, 261,706.06 and 104,749.72

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Solution

The fourth proportional to 189,649.08, 261,706.06 and 104,749.72 is: 144,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,649.08 : 261,706.06 = 104,749.72 : x
  2. Step 2: Convert to fraction form
    189,649.08/261,706.06 = 104,749.72/x
  3. Step 3: Cross multiply
    189,649.08x = 261,706.06 × 104,749.72
  4. Step 4: Simplify right side
    189,649.08x = 27,413,636,507.30
  5. Step 5: Solve for x
    x = 27,413,636,507.30/189,649.08
  6. Step 6: Final answer
    x = 144,549.27

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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.