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Finding the Fourth Proportional to 211,083.64, 316,684.62 and 84,812.54

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Solution

The fourth proportional to 211,083.64, 316,684.62 and 84,812.54 is: 127,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,083.64 : 316,684.62 = 84,812.54 : x
  2. Step 2: Convert to fraction form
    211,083.64/316,684.62 = 84,812.54/x
  3. Step 3: Cross multiply
    211,083.64x = 316,684.62 × 84,812.54
  4. Step 4: Simplify right side
    211,083.64x = 26,858,825,417.71
  5. Step 5: Solve for x
    x = 26,858,825,417.71/211,083.64
  6. Step 6: Final answer
    x = 127,242.57

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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.