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Finding the Fourth Proportional to 142,362.50, 213,672.54 and 75,858.80

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Solution

The fourth proportional to 142,362.50, 213,672.54 and 75,858.80 is: 113,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362.50 : 213,672.54 = 75,858.80 : x
  2. Step 2: Convert to fraction form
    142,362.50/213,672.54 = 75,858.80/x
  3. Step 3: Cross multiply
    142,362.50x = 213,672.54 × 75,858.80
  4. Step 4: Simplify right side
    142,362.50x = 16,208,942,477.35
  5. Step 5: Solve for x
    x = 16,208,942,477.35/142,362.50
  6. Step 6: Final answer
    x = 113,856.83

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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.