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Finding the Fourth Proportional to 205,781.58, 310,214.74 and 192,065

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Solution

The fourth proportional to 205,781.58, 310,214.74 and 192,065 is: 289,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,781.58 : 310,214.74 = 192,065 : x
  2. Step 2: Convert to fraction form
    205,781.58/310,214.74 = 192,065/x
  3. Step 3: Cross multiply
    205,781.58x = 310,214.74 × 192,065
  4. Step 4: Simplify right side
    205,781.58x = 59,581,394,038.10
  5. Step 5: Solve for x
    x = 59,581,394,038.10/205,781.58
  6. Step 6: Final answer
    x = 289,537.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.