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Finding the Fourth Proportional to 142,692.30, 214,040.54 and 67,820.09

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Solution

The fourth proportional to 142,692.30, 214,040.54 and 67,820.09 is: 101,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692.30 : 214,040.54 = 67,820.09 : x
  2. Step 2: Convert to fraction form
    142,692.30/214,040.54 = 67,820.09/x
  3. Step 3: Cross multiply
    142,692.30x = 214,040.54 × 67,820.09
  4. Step 4: Simplify right side
    142,692.30x = 14,516,247,277.15
  5. Step 5: Solve for x
    x = 14,516,247,277.15/142,692.30
  6. Step 6: Final answer
    x = 101,731.12

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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.