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Finding the Fourth Proportional to 255,901.42, 353,144.43 and 142,731.46

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Solution

The fourth proportional to 255,901.42, 353,144.43 and 142,731.46 is: 196,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.42 : 353,144.43 = 142,731.46 : x
  2. Step 2: Convert to fraction form
    255,901.42/353,144.43 = 142,731.46/x
  3. Step 3: Cross multiply
    255,901.42x = 353,144.43 × 142,731.46
  4. Step 4: Simplify right side
    255,901.42x = 50,404,820,084.77
  5. Step 5: Solve for x
    x = 50,404,820,084.77/255,901.42
  6. Step 6: Final answer
    x = 196,969.68

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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.