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Finding the Fourth Proportional to 262,098, 361,695.48 and 142,866

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Solution

The fourth proportional to 262,098, 361,695.48 and 142,866 is: 197,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,098 : 361,695.48 = 142,866 : x
  2. Step 2: Convert to fraction form
    262,098/361,695.48 = 142,866/x
  3. Step 3: Cross multiply
    262,098x = 361,695.48 × 142,866
  4. Step 4: Simplify right side
    262,098x = 51,673,986,445.68
  5. Step 5: Solve for x
    x = 51,673,986,445.68/262,098
  6. Step 6: Final answer
    x = 197,155.21

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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.