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Finding the Fourth Proportional to 193,286, 266,763.84 and 117,878.24

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Solution

The fourth proportional to 193,286, 266,763.84 and 117,878.24 is: 162,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,286 : 266,763.84 = 117,878.24 : x
  2. Step 2: Convert to fraction form
    193,286/266,763.84 = 117,878.24/x
  3. Step 3: Cross multiply
    193,286x = 266,763.84 × 117,878.24
  4. Step 4: Simplify right side
    193,286x = 31,445,651,954.84
  5. Step 5: Solve for x
    x = 31,445,651,954.84/193,286
  6. Step 6: Final answer
    x = 162,689.75

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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.