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Finding the Fourth Proportional to 211,929.70, 317,894.71 and 54,158.31

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Solution

The fourth proportional to 211,929.70, 317,894.71 and 54,158.31 is: 81,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,929.70 : 317,894.71 = 54,158.31 : x
  2. Step 2: Convert to fraction form
    211,929.70/317,894.71 = 54,158.31/x
  3. Step 3: Cross multiply
    211,929.70x = 317,894.71 × 54,158.31
  4. Step 4: Simplify right side
    211,929.70x = 17,216,640,251.54
  5. Step 5: Solve for x
    x = 17,216,640,251.54/211,929.70
  6. Step 6: Final answer
    x = 81,237.51

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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.