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Finding the Fourth Proportional to 107,170.38, 147,861.11 and 61,842.37

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Solution

The fourth proportional to 107,170.38, 147,861.11 and 61,842.37 is: 85,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,170.38 : 147,861.11 = 61,842.37 : x
  2. Step 2: Convert to fraction form
    107,170.38/147,861.11 = 61,842.37/x
  3. Step 3: Cross multiply
    107,170.38x = 147,861.11 × 61,842.37
  4. Step 4: Simplify right side
    107,170.38x = 9,144,081,473.23
  5. Step 5: Solve for x
    x = 9,144,081,473.23/107,170.38
  6. Step 6: Final answer
    x = 85,322.84

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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.