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Finding the Fourth Proportional to 191,720.74, 264,576.54 and 105,682.78

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Solution

The fourth proportional to 191,720.74, 264,576.54 and 105,682.78 is: 145,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,720.74 : 264,576.54 = 105,682.78 : x
  2. Step 2: Convert to fraction form
    191,720.74/264,576.54 = 105,682.78/x
  3. Step 3: Cross multiply
    191,720.74x = 264,576.54 × 105,682.78
  4. Step 4: Simplify right side
    191,720.74x = 27,961,184,269.98
  5. Step 5: Solve for x
    x = 27,961,184,269.98/191,720.74
  6. Step 6: Final answer
    x = 145,843.29

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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.