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Finding the Fourth Proportional to 255,889.86, 353,128.59 and 142,719.90

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Solution

The fourth proportional to 255,889.86, 353,128.59 and 142,719.90 is: 196,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,889.86 : 353,128.59 = 142,719.90 : x
  2. Step 2: Convert to fraction form
    255,889.86/353,128.59 = 142,719.90/x
  3. Step 3: Cross multiply
    255,889.86x = 353,128.59 × 142,719.90
  4. Step 4: Simplify right side
    255,889.86x = 50,398,477,051.94
  5. Step 5: Solve for x
    x = 50,398,477,051.94/255,889.86
  6. Step 6: Final answer
    x = 196,953.79

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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.