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Finding the Fourth Proportional to 126,503.73, 189,782.93 and 47,617.73

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Solution

The fourth proportional to 126,503.73, 189,782.93 and 47,617.73 is: 71,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503.73 : 189,782.93 = 47,617.73 : x
  2. Step 2: Convert to fraction form
    126,503.73/189,782.93 = 47,617.73/x
  3. Step 3: Cross multiply
    126,503.73x = 189,782.93 × 47,617.73
  4. Step 4: Simplify right side
    126,503.73x = 9,037,032,319.35
  5. Step 5: Solve for x
    x = 9,037,032,319.35/126,503.73
  6. Step 6: Final answer
    x = 71,436.88

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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.