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Finding the Fourth Proportional to 253,718.72, 380,576.96 and 76,224.96

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Solution

The fourth proportional to 253,718.72, 380,576.96 and 76,224.96 is: 114,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,718.72 : 380,576.96 = 76,224.96 : x
  2. Step 2: Convert to fraction form
    253,718.72/380,576.96 = 76,224.96/x
  3. Step 3: Cross multiply
    253,718.72x = 380,576.96 × 76,224.96
  4. Step 4: Simplify right side
    253,718.72x = 29,009,463,552.92
  5. Step 5: Solve for x
    x = 29,009,463,552.92/253,718.72
  6. Step 6: Final answer
    x = 114,337.10

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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.