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Finding the Fourth Proportional to 142,692.48, 214,041.12 and 53,987.76

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Solution

The fourth proportional to 142,692.48, 214,041.12 and 53,987.76 is: 80,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692.48 : 214,041.12 = 53,987.76 : x
  2. Step 2: Convert to fraction form
    142,692.48/214,041.12 = 53,987.76/x
  3. Step 3: Cross multiply
    142,692.48x = 214,041.12 × 53,987.76
  4. Step 4: Simplify right side
    142,692.48x = 11,555,600,616.69
  5. Step 5: Solve for x
    x = 11,555,600,616.69/142,692.48
  6. Step 6: Final answer
    x = 80,982.55

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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.