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Finding the Fourth Proportional to 205,771.89, 310,200.14 and 192,055.31

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Solution

The fourth proportional to 205,771.89, 310,200.14 and 192,055.31 is: 289,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,771.89 : 310,200.14 = 192,055.31 : x
  2. Step 2: Convert to fraction form
    205,771.89/310,200.14 = 192,055.31/x
  3. Step 3: Cross multiply
    205,771.89x = 310,200.14 × 192,055.31
  4. Step 4: Simplify right side
    205,771.89x = 59,575,581,538.47
  5. Step 5: Solve for x
    x = 59,575,581,538.47/205,771.89
  6. Step 6: Final answer
    x = 289,522.45

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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.