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Finding the Fourth Proportional to 254,596.76, 381,313.72 and 121,570.66

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Solution

The fourth proportional to 254,596.76, 381,313.72 and 121,570.66 is: 182,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,596.76 : 381,313.72 = 121,570.66 : x
  2. Step 2: Convert to fraction form
    254,596.76/381,313.72 = 121,570.66/x
  3. Step 3: Cross multiply
    254,596.76x = 381,313.72 × 121,570.66
  4. Step 4: Simplify right side
    254,596.76x = 46,356,560,607.46
  5. Step 5: Solve for x
    x = 46,356,560,607.46/254,596.76
  6. Step 6: Final answer
    x = 182,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.