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Finding the Fourth Proportional to 211,207.25, 316,811.28 and 51,282.51

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Solution

The fourth proportional to 211,207.25, 316,811.28 and 51,282.51 is: 76,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,207.25 : 316,811.28 = 51,282.51 : x
  2. Step 2: Convert to fraction form
    211,207.25/316,811.28 = 51,282.51/x
  3. Step 3: Cross multiply
    211,207.25x = 316,811.28 × 51,282.51
  4. Step 4: Simplify right side
    211,207.25x = 16,246,877,634.71
  5. Step 5: Solve for x
    x = 16,246,877,634.71/211,207.25
  6. Step 6: Final answer
    x = 76,923.86

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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.