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Finding the Fourth Proportional to 191,722.74, 264,579.30 and 105,684.78

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Solution

The fourth proportional to 191,722.74, 264,579.30 and 105,684.78 is: 145,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,722.74 : 264,579.30 = 105,684.78 : x
  2. Step 2: Convert to fraction form
    191,722.74/264,579.30 = 105,684.78/x
  3. Step 3: Cross multiply
    191,722.74x = 264,579.30 × 105,684.78
  4. Step 4: Simplify right side
    191,722.74x = 27,962,005,113.05
  5. Step 5: Solve for x
    x = 27,962,005,113.05/191,722.74
  6. Step 6: Final answer
    x = 145,846.05

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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.