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Finding the Fourth Proportional to 211,185.16, 316,751.31 and 69,018.55

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Solution

The fourth proportional to 211,185.16, 316,751.31 and 69,018.55 is: 103,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,185.16 : 316,751.31 = 69,018.55 : x
  2. Step 2: Convert to fraction form
    211,185.16/316,751.31 = 69,018.55/x
  3. Step 3: Cross multiply
    211,185.16x = 316,751.31 × 69,018.55
  4. Step 4: Simplify right side
    211,185.16x = 21,861,715,334.92
  5. Step 5: Solve for x
    x = 21,861,715,334.92/211,185.16
  6. Step 6: Final answer
    x = 103,519.18

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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.