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Finding the Fourth Proportional to 260,998, 360,177.60 and 141,766

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Solution

The fourth proportional to 260,998, 360,177.60 and 141,766 is: 195,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,998 : 360,177.60 = 141,766 : x
  2. Step 2: Convert to fraction form
    260,998/360,177.60 = 141,766/x
  3. Step 3: Cross multiply
    260,998x = 360,177.60 × 141,766
  4. Step 4: Simplify right side
    260,998x = 51,060,937,641.60
  5. Step 5: Solve for x
    x = 51,060,937,641.60/260,998
  6. Step 6: Final answer
    x = 195,637.28

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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.