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Finding the Fourth Proportional to 205,141.80, 307,712.70 and 188,034.60

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Solution

The fourth proportional to 205,141.80, 307,712.70 and 188,034.60 is: 282,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,141.80 : 307,712.70 = 188,034.60 : x
  2. Step 2: Convert to fraction form
    205,141.80/307,712.70 = 188,034.60/x
  3. Step 3: Cross multiply
    205,141.80x = 307,712.70 × 188,034.60
  4. Step 4: Simplify right side
    205,141.80x = 57,860,634,459.42
  5. Step 5: Solve for x
    x = 57,860,634,459.42/205,141.80
  6. Step 6: Final answer
    x = 282,051.90

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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.