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Finding the Fourth Proportional to 211,206.88, 316,810.72 and 51,282.14

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Solution

The fourth proportional to 211,206.88, 316,810.72 and 51,282.14 is: 76,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,206.88 : 316,810.72 = 51,282.14 : x
  2. Step 2: Convert to fraction form
    211,206.88/316,810.72 = 51,282.14/x
  3. Step 3: Cross multiply
    211,206.88x = 316,810.72 × 51,282.14
  4. Step 4: Simplify right side
    211,206.88x = 16,246,730,112.49
  5. Step 5: Solve for x
    x = 16,246,730,112.49/211,206.88
  6. Step 6: Final answer
    x = 76,923.30

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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.