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Finding the Fourth Proportional to 107,189.78, 147,751.44 and 84,491.96

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Solution

The fourth proportional to 107,189.78, 147,751.44 and 84,491.96 is: 116,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,189.78 : 147,751.44 = 84,491.96 : x
  2. Step 2: Convert to fraction form
    107,189.78/147,751.44 = 84,491.96/x
  3. Step 3: Cross multiply
    107,189.78x = 147,751.44 × 84,491.96
  4. Step 4: Simplify right side
    107,189.78x = 12,483,808,758.42
  5. Step 5: Solve for x
    x = 12,483,808,758.42/107,189.78
  6. Step 6: Final answer
    x = 116,464.54

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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.