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Finding the Fourth Proportional to 255,671.36, 352,841.76 and 142,493.84

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Solution

The fourth proportional to 255,671.36, 352,841.76 and 142,493.84 is: 196,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,671.36 : 352,841.76 = 142,493.84 : x
  2. Step 2: Convert to fraction form
    255,671.36/352,841.76 = 142,493.84/x
  3. Step 3: Cross multiply
    255,671.36x = 352,841.76 × 142,493.84
  4. Step 4: Simplify right side
    255,671.36x = 50,277,777,294.76
  5. Step 5: Solve for x
    x = 50,277,777,294.76/255,671.36
  6. Step 6: Final answer
    x = 196,650.02

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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.