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Finding the Fourth Proportional to 191,563.82, 264,339.15 and 106,688.78

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Solution

The fourth proportional to 191,563.82, 264,339.15 and 106,688.78 is: 147,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,563.82 : 264,339.15 = 106,688.78 : x
  2. Step 2: Convert to fraction form
    191,563.82/264,339.15 = 106,688.78/x
  3. Step 3: Cross multiply
    191,563.82x = 264,339.15 × 106,688.78
  4. Step 4: Simplify right side
    191,563.82x = 28,202,021,419.74
  5. Step 5: Solve for x
    x = 28,202,021,419.74/191,563.82
  6. Step 6: Final answer
    x = 147,219.98

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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.