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Finding the Fourth Proportional to 103,205.34, 142,425 and 57,893.40

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Solution

The fourth proportional to 103,205.34, 142,425 and 57,893.40 is: 79,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.34 : 142,425 = 57,893.40 : x
  2. Step 2: Convert to fraction form
    103,205.34/142,425 = 57,893.40/x
  3. Step 3: Cross multiply
    103,205.34x = 142,425 × 57,893.40
  4. Step 4: Simplify right side
    103,205.34x = 8,245,467,495
  5. Step 5: Solve for x
    x = 8,245,467,495/103,205.34
  6. Step 6: Final answer
    x = 79,893.81

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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.