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Finding the Fourth Proportional to 261,426, 360,768.20 and 142,194

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Solution

The fourth proportional to 261,426, 360,768.20 and 142,194 is: 196,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,426 : 360,768.20 = 142,194 : x
  2. Step 2: Convert to fraction form
    261,426/360,768.20 = 142,194/x
  3. Step 3: Cross multiply
    261,426x = 360,768.20 × 142,194
  4. Step 4: Simplify right side
    261,426x = 51,299,073,430.80
  5. Step 5: Solve for x
    x = 51,299,073,430.80/261,426
  6. Step 6: Final answer
    x = 196,227.89

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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.