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Finding the Fourth Proportional to 205,430, 308,144.90 and 77,370.42

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Solution

The fourth proportional to 205,430, 308,144.90 and 77,370.42 is: 116,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,430 : 308,144.90 = 77,370.42 : x
  2. Step 2: Convert to fraction form
    205,430/308,144.90 = 77,370.42/x
  3. Step 3: Cross multiply
    205,430x = 308,144.90 × 77,370.42
  4. Step 4: Simplify right side
    205,430x = 23,841,300,333.86
  5. Step 5: Solve for x
    x = 23,841,300,333.86/205,430
  6. Step 6: Final answer
    x = 116,055.59

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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.