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Finding the Fourth Proportional to 255,893.86, 353,134.14 and 142,723.90

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Solution

The fourth proportional to 255,893.86, 353,134.14 and 142,723.90 is: 196,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,893.86 : 353,134.14 = 142,723.90 : x
  2. Step 2: Convert to fraction form
    255,893.86/353,134.14 = 142,723.90/x
  3. Step 3: Cross multiply
    255,893.86x = 353,134.14 × 142,723.90
  4. Step 4: Simplify right side
    255,893.86x = 50,400,681,683.95
  5. Step 5: Solve for x
    x = 50,400,681,683.95/255,893.86
  6. Step 6: Final answer
    x = 196,959.32

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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.