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Finding the Fourth Proportional to 145,692.87, 218,448.84 and 61,409.67

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Solution

The fourth proportional to 145,692.87, 218,448.84 and 61,409.67 is: 92,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692.87 : 218,448.84 = 61,409.67 : x
  2. Step 2: Convert to fraction form
    145,692.87/218,448.84 = 61,409.67/x
  3. Step 3: Cross multiply
    145,692.87x = 218,448.84 × 61,409.67
  4. Step 4: Simplify right side
    145,692.87x = 13,414,871,176.28
  5. Step 5: Solve for x
    x = 13,414,871,176.28/145,692.87
  6. Step 6: Final answer
    x = 92,076.37

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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.