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Finding the Fourth Proportional to 126,483.75, 189,706.50 and 47,579.64

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Solution

The fourth proportional to 126,483.75, 189,706.50 and 47,579.64 is: 71,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,483.75 : 189,706.50 = 47,579.64 : x
  2. Step 2: Convert to fraction form
    126,483.75/189,706.50 = 47,579.64/x
  3. Step 3: Cross multiply
    126,483.75x = 189,706.50 × 47,579.64
  4. Step 4: Simplify right side
    126,483.75x = 9,026,166,975.66
  5. Step 5: Solve for x
    x = 9,026,166,975.66/126,483.75
  6. Step 6: Final answer
    x = 71,362.27

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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.