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Finding the Fourth Proportional to 254,652.81, 351,400.31 and 147,229.77

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Solution

The fourth proportional to 254,652.81, 351,400.31 and 147,229.77 is: 203,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,652.81 : 351,400.31 = 147,229.77 : x
  2. Step 2: Convert to fraction form
    254,652.81/351,400.31 = 147,229.77/x
  3. Step 3: Cross multiply
    254,652.81x = 351,400.31 × 147,229.77
  4. Step 4: Simplify right side
    254,652.81x = 51,736,584,326.08
  5. Step 5: Solve for x
    x = 51,736,584,326.08/254,652.81
  6. Step 6: Final answer
    x = 203,165.18

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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.