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Finding the Fourth Proportional to 250,271.36, 345,384 and 142,858.88

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Solution

The fourth proportional to 250,271.36, 345,384 and 142,858.88 is: 197,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,271.36 : 345,384 = 142,858.88 : x
  2. Step 2: Convert to fraction form
    250,271.36/345,384 = 142,858.88/x
  3. Step 3: Cross multiply
    250,271.36x = 345,384 × 142,858.88
  4. Step 4: Simplify right side
    250,271.36x = 49,341,171,409.92
  5. Step 5: Solve for x
    x = 49,341,171,409.92/250,271.36
  6. Step 6: Final answer
    x = 197,150.69

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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.