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Finding the Fourth Proportional to 255,908, 353,153.04 and 142,730.84

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Solution

The fourth proportional to 255,908, 353,153.04 and 142,730.84 is: 196,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,908 : 353,153.04 = 142,730.84 : x
  2. Step 2: Convert to fraction form
    255,908/353,153.04 = 142,730.84/x
  3. Step 3: Cross multiply
    255,908x = 353,153.04 × 142,730.84
  4. Step 4: Simplify right side
    255,908x = 50,405,830,047.75
  5. Step 5: Solve for x
    x = 50,405,830,047.75/255,908
  6. Step 6: Final answer
    x = 196,968.56

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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.