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Finding the Fourth Proportional to 202,887, 304,271 and 76,436

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Solution

The fourth proportional to 202,887, 304,271 and 76,436 is: 114,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,887 : 304,271 = 76,436 : x
  2. Step 2: Convert to fraction form
    202,887/304,271 = 76,436/x
  3. Step 3: Cross multiply
    202,887x = 304,271 × 76,436
  4. Step 4: Simplify right side
    202,887x = 23,257,258,156
  5. Step 5: Solve for x
    x = 23,257,258,156/202,887
  6. Step 6: Final answer
    x = 114,631.58

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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.