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Finding the Fourth Proportional to 254,559.76, 351,287.40 and 141,378.64

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Solution

The fourth proportional to 254,559.76, 351,287.40 and 141,378.64 is: 195,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,559.76 : 351,287.40 = 141,378.64 : x
  2. Step 2: Convert to fraction form
    254,559.76/351,287.40 = 141,378.64/x
  3. Step 3: Cross multiply
    254,559.76x = 351,287.40 × 141,378.64
  4. Step 4: Simplify right side
    254,559.76x = 49,664,534,861.14
  5. Step 5: Solve for x
    x = 49,664,534,861.14/254,559.76
  6. Step 6: Final answer
    x = 195,099.71

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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.