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Finding the Fourth Proportional to 105,863.89, 158,675.04 and 42,643.56

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Solution

The fourth proportional to 105,863.89, 158,675.04 and 42,643.56 is: 63,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863.89 : 158,675.04 = 42,643.56 : x
  2. Step 2: Convert to fraction form
    105,863.89/158,675.04 = 42,643.56/x
  3. Step 3: Cross multiply
    105,863.89x = 158,675.04 × 42,643.56
  4. Step 4: Simplify right side
    105,863.89x = 6,766,467,795.37
  5. Step 5: Solve for x
    x = 6,766,467,795.37/105,863.89
  6. Step 6: Final answer
    x = 63,916.67

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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.