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Finding the Fourth Proportional to 157,163.49, 216,889.92 and 89,183.30

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Solution

The fourth proportional to 157,163.49, 216,889.92 and 89,183.30 is: 123,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,163.49 : 216,889.92 = 89,183.30 : x
  2. Step 2: Convert to fraction form
    157,163.49/216,889.92 = 89,183.30/x
  3. Step 3: Cross multiply
    157,163.49x = 216,889.92 × 89,183.30
  4. Step 4: Simplify right side
    157,163.49x = 19,342,957,717.89
  5. Step 5: Solve for x
    x = 19,342,957,717.89/157,163.49
  6. Step 6: Final answer
    x = 123,075.39

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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.