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Finding the Fourth Proportional to 140,743.98, 211,129.80 and 40,905

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Solution

The fourth proportional to 140,743.98, 211,129.80 and 40,905 is: 61,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,743.98 : 211,129.80 = 40,905 : x
  2. Step 2: Convert to fraction form
    140,743.98/211,129.80 = 40,905/x
  3. Step 3: Cross multiply
    140,743.98x = 211,129.80 × 40,905
  4. Step 4: Simplify right side
    140,743.98x = 8,636,264,469
  5. Step 5: Solve for x
    x = 8,636,264,469/140,743.98
  6. Step 6: Final answer
    x = 61,361.52

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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.