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Finding the Fourth Proportional to 260,915, 360,062.70 and 141,683

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Solution

The fourth proportional to 260,915, 360,062.70 and 141,683 is: 195,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,915 : 360,062.70 = 141,683 : x
  2. Step 2: Convert to fraction form
    260,915/360,062.70 = 141,683/x
  3. Step 3: Cross multiply
    260,915x = 360,062.70 × 141,683
  4. Step 4: Simplify right side
    260,915x = 51,014,763,524.10
  5. Step 5: Solve for x
    x = 51,014,763,524.10/260,915
  6. Step 6: Final answer
    x = 195,522.54

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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.