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Finding the Fourth Proportional to 255,972, 353,241.36 and 142,794.72

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Solution

The fourth proportional to 255,972, 353,241.36 and 142,794.72 is: 197,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,972 : 353,241.36 = 142,794.72 : x
  2. Step 2: Convert to fraction form
    255,972/353,241.36 = 142,794.72/x
  3. Step 3: Cross multiply
    255,972x = 353,241.36 × 142,794.72
  4. Step 4: Simplify right side
    255,972x = 50,441,001,093.62
  5. Step 5: Solve for x
    x = 50,441,001,093.62/255,972
  6. Step 6: Final answer
    x = 197,056.71

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1.5x scale

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.