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Finding the Fourth Proportional to 103,286.72, 142,491.48 and 76,491.92

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Solution

The fourth proportional to 103,286.72, 142,491.48 and 76,491.92 is: 105,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,286.72 : 142,491.48 = 76,491.92 : x
  2. Step 2: Convert to fraction form
    103,286.72/142,491.48 = 76,491.92/x
  3. Step 3: Cross multiply
    103,286.72x = 142,491.48 × 76,491.92
  4. Step 4: Simplify right side
    103,286.72x = 10,899,446,888.84
  5. Step 5: Solve for x
    x = 10,899,446,888.84/103,286.72
  6. Step 6: Final answer
    x = 105,526.12

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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.