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Finding the Fourth Proportional to 211,227.73, 316,816.94 and 84,862.87

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Solution

The fourth proportional to 211,227.73, 316,816.94 and 84,862.87 is: 127,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,227.73 : 316,816.94 = 84,862.87 : x
  2. Step 2: Convert to fraction form
    211,227.73/316,816.94 = 84,862.87/x
  3. Step 3: Cross multiply
    211,227.73x = 316,816.94 × 84,862.87
  4. Step 4: Simplify right side
    211,227.73x = 26,885,994,793.02
  5. Step 5: Solve for x
    x = 26,885,994,793.02/211,227.73
  6. Step 6: Final answer
    x = 127,284.40

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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.