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Finding the Fourth Proportional to 261,971.50, 361,520.67 and 142,739.50

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Solution

The fourth proportional to 261,971.50, 361,520.67 and 142,739.50 is: 196,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,971.50 : 361,520.67 = 142,739.50 : x
  2. Step 2: Convert to fraction form
    261,971.50/361,520.67 = 142,739.50/x
  3. Step 3: Cross multiply
    261,971.50x = 361,520.67 × 142,739.50
  4. Step 4: Simplify right side
    261,971.50x = 51,603,279,675.47
  5. Step 5: Solve for x
    x = 51,603,279,675.47/261,971.50
  6. Step 6: Final answer
    x = 196,980.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.