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Finding the Fourth Proportional to 261,818, 361,308.84 and 142,586

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Solution

The fourth proportional to 261,818, 361,308.84 and 142,586 is: 196,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,818 : 361,308.84 = 142,586 : x
  2. Step 2: Convert to fraction form
    261,818/361,308.84 = 142,586/x
  3. Step 3: Cross multiply
    261,818x = 361,308.84 × 142,586
  4. Step 4: Simplify right side
    261,818x = 51,517,582,260.24
  5. Step 5: Solve for x
    x = 51,517,582,260.24/261,818
  6. Step 6: Final answer
    x = 196,768.68

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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.