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Finding the Fourth Proportional to 205,782.58, 310,216.25 and 192,066

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Solution

The fourth proportional to 205,782.58, 310,216.25 and 192,066 is: 289,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,782.58 : 310,216.25 = 192,066 : x
  2. Step 2: Convert to fraction form
    205,782.58/310,216.25 = 192,066/x
  3. Step 3: Cross multiply
    205,782.58x = 310,216.25 × 192,066
  4. Step 4: Simplify right side
    205,782.58x = 59,581,994,272.50
  5. Step 5: Solve for x
    x = 59,581,994,272.50/205,782.58
  6. Step 6: Final answer
    x = 289,538.57

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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.