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Finding the Fourth Proportional to 255,902.67, 353,146.16 and 142,732.71

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Solution

The fourth proportional to 255,902.67, 353,146.16 and 142,732.71 is: 196,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.67 : 353,146.16 = 142,732.71 : x
  2. Step 2: Convert to fraction form
    255,902.67/353,146.16 = 142,732.71/x
  3. Step 3: Cross multiply
    255,902.67x = 353,146.16 × 142,732.71
  4. Step 4: Simplify right side
    255,902.67x = 50,405,507,729.23
  5. Step 5: Solve for x
    x = 50,405,507,729.23/255,902.67
  6. Step 6: Final answer
    x = 196,971.40

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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.