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Finding the Fourth Proportional to 113,482, 170,223 and 30,376

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Solution

The fourth proportional to 113,482, 170,223 and 30,376 is: 45,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,482 : 170,223 = 30,376 : x
  2. Step 2: Convert to fraction form
    113,482/170,223 = 30,376/x
  3. Step 3: Cross multiply
    113,482x = 170,223 × 30,376
  4. Step 4: Simplify right side
    113,482x = 5,170,693,848
  5. Step 5: Solve for x
    x = 5,170,693,848/113,482
  6. Step 6: Final answer
    x = 45,564

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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.