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Finding the Fourth Proportional to 250,686.90, 345,978.54 and 143,232.30

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Solution

The fourth proportional to 250,686.90, 345,978.54 and 143,232.30 is: 197,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,686.90 : 345,978.54 = 143,232.30 : x
  2. Step 2: Convert to fraction form
    250,686.90/345,978.54 = 143,232.30/x
  3. Step 3: Cross multiply
    250,686.90x = 345,978.54 × 143,232.30
  4. Step 4: Simplify right side
    250,686.90x = 49,555,302,034.84
  5. Step 5: Solve for x
    x = 49,555,302,034.84/250,686.90
  6. Step 6: Final answer
    x = 197,678.07

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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.