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Finding the Fourth Proportional to 142,692.60, 214,038.78 and 49,191

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Solution

The fourth proportional to 142,692.60, 214,038.78 and 49,191 is: 73,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692.60 : 214,038.78 = 49,191 : x
  2. Step 2: Convert to fraction form
    142,692.60/214,038.78 = 49,191/x
  3. Step 3: Cross multiply
    142,692.60x = 214,038.78 × 49,191
  4. Step 4: Simplify right side
    142,692.60x = 10,528,781,626.98
  5. Step 5: Solve for x
    x = 10,528,781,626.98/142,692.60
  6. Step 6: Final answer
    x = 73,786.46

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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.