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Finding the Fourth Proportional to 205,974, 308,962.89 and 81,315

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Solution

The fourth proportional to 205,974, 308,962.89 and 81,315 is: 121,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,974 : 308,962.89 = 81,315 : x
  2. Step 2: Convert to fraction form
    205,974/308,962.89 = 81,315/x
  3. Step 3: Cross multiply
    205,974x = 308,962.89 × 81,315
  4. Step 4: Simplify right side
    205,974x = 25,123,317,400.35
  5. Step 5: Solve for x
    x = 25,123,317,400.35/205,974
  6. Step 6: Final answer
    x = 121,973.25

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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.