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Finding the Fourth Proportional to 254,869.34, 351,728.53 and 140,152.68

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Solution

The fourth proportional to 254,869.34, 351,728.53 and 140,152.68 is: 193,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,869.34 : 351,728.53 = 140,152.68 : x
  2. Step 2: Convert to fraction form
    254,869.34/351,728.53 = 140,152.68/x
  3. Step 3: Cross multiply
    254,869.34x = 351,728.53 × 140,152.68
  4. Step 4: Simplify right side
    254,869.34x = 49,295,695,761.58
  5. Step 5: Solve for x
    x = 49,295,695,761.58/254,869.34
  6. Step 6: Final answer
    x = 193,415.56

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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.