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Finding the Fourth Proportional to 254,128, 350,698.28 and 140,951.04

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Solution

The fourth proportional to 254,128, 350,698.28 and 140,951.04 is: 194,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,128 : 350,698.28 = 140,951.04 : x
  2. Step 2: Convert to fraction form
    254,128/350,698.28 = 140,951.04/x
  3. Step 3: Cross multiply
    254,128x = 350,698.28 × 140,951.04
  4. Step 4: Simplify right side
    254,128x = 49,431,287,292.21
  5. Step 5: Solve for x
    x = 49,431,287,292.21/254,128
  6. Step 6: Final answer
    x = 194,513.34

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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.