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Finding the Fourth Proportional to 126,474.78, 189,736.47 and 56,353.89

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Solution

The fourth proportional to 126,474.78, 189,736.47 and 56,353.89 is: 84,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,474.78 : 189,736.47 = 56,353.89 : x
  2. Step 2: Convert to fraction form
    126,474.78/189,736.47 = 56,353.89/x
  3. Step 3: Cross multiply
    126,474.78x = 189,736.47 × 56,353.89
  4. Step 4: Simplify right side
    126,474.78x = 10,692,388,159.37
  5. Step 5: Solve for x
    x = 10,692,388,159.37/126,474.78
  6. Step 6: Final answer
    x = 84,541.66

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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.