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Finding the Fourth Proportional to 126,634.32, 189,881.34 and 51,807

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Solution

The fourth proportional to 126,634.32, 189,881.34 and 51,807 is: 77,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,634.32 : 189,881.34 = 51,807 : x
  2. Step 2: Convert to fraction form
    126,634.32/189,881.34 = 51,807/x
  3. Step 3: Cross multiply
    126,634.32x = 189,881.34 × 51,807
  4. Step 4: Simplify right side
    126,634.32x = 9,837,182,581.38
  5. Step 5: Solve for x
    x = 9,837,182,581.38/126,634.32
  6. Step 6: Final answer
    x = 77,681.81

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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.