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Finding the Fourth Proportional to 211,286, 291,522.48 and 125,265.14

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Solution

The fourth proportional to 211,286, 291,522.48 and 125,265.14 is: 172,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,286 : 291,522.48 = 125,265.14 : x
  2. Step 2: Convert to fraction form
    211,286/291,522.48 = 125,265.14/x
  3. Step 3: Cross multiply
    211,286x = 291,522.48 × 125,265.14
  4. Step 4: Simplify right side
    211,286x = 36,517,604,270.35
  5. Step 5: Solve for x
    x = 36,517,604,270.35/211,286
  6. Step 6: Final answer
    x = 172,834.95

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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.