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Finding the Fourth Proportional to 126,580, 189,745.80 and 70,447

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Solution

The fourth proportional to 126,580, 189,745.80 and 70,447 is: 105,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,580 : 189,745.80 = 70,447 : x
  2. Step 2: Convert to fraction form
    126,580/189,745.80 = 70,447/x
  3. Step 3: Cross multiply
    126,580x = 189,745.80 × 70,447
  4. Step 4: Simplify right side
    126,580x = 13,367,022,372.60
  5. Step 5: Solve for x
    x = 13,367,022,372.60/126,580
  6. Step 6: Final answer
    x = 105,601.38

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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.