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Finding the Fourth Proportional to 89,689.71, 123,772.83 and 49,402.64

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Solution

The fourth proportional to 89,689.71, 123,772.83 and 49,402.64 is: 68,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,689.71 : 123,772.83 = 49,402.64 : x
  2. Step 2: Convert to fraction form
    89,689.71/123,772.83 = 49,402.64/x
  3. Step 3: Cross multiply
    89,689.71x = 123,772.83 × 49,402.64
  4. Step 4: Simplify right side
    89,689.71x = 6,114,704,686.44
  5. Step 5: Solve for x
    x = 6,114,704,686.44/89,689.71
  6. Step 6: Final answer
    x = 68,176.21

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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.