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Finding the Fourth Proportional to 381,099.94, 571,688.18 and 100,617.19

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Solution

The fourth proportional to 381,099.94, 571,688.18 and 100,617.19 is: 150,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,099.94 : 571,688.18 = 100,617.19 : x
  2. Step 2: Convert to fraction form
    381,099.94/571,688.18 = 100,617.19/x
  3. Step 3: Cross multiply
    381,099.94x = 571,688.18 × 100,617.19
  4. Step 4: Simplify right side
    381,099.94x = 57,521,656,672.82
  5. Step 5: Solve for x
    x = 57,521,656,672.82/381,099.94
  6. Step 6: Final answer
    x = 150,935.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.