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Finding the Fourth Proportional to 254,561.76, 351,274.62 and 147,138.72

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Solution

The fourth proportional to 254,561.76, 351,274.62 and 147,138.72 is: 203,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,561.76 : 351,274.62 = 147,138.72 : x
  2. Step 2: Convert to fraction form
    254,561.76/351,274.62 = 147,138.72/x
  3. Step 3: Cross multiply
    254,561.76x = 351,274.62 × 147,138.72
  4. Step 4: Simplify right side
    254,561.76x = 51,686,097,955.29
  5. Step 5: Solve for x
    x = 51,686,097,955.29/254,561.76
  6. Step 6: Final answer
    x = 203,039.52

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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.