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Finding the Fourth Proportional to 94,692.78, 142,028.10 and 78,997.68

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Solution

The fourth proportional to 94,692.78, 142,028.10 and 78,997.68 is: 118,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,692.78 : 142,028.10 = 78,997.68 : x
  2. Step 2: Convert to fraction form
    94,692.78/142,028.10 = 78,997.68/x
  3. Step 3: Cross multiply
    94,692.78x = 142,028.10 × 78,997.68
  4. Step 4: Simplify right side
    94,692.78x = 11,219,890,394.81
  5. Step 5: Solve for x
    x = 11,219,890,394.81/94,692.78
  6. Step 6: Final answer
    x = 118,487.28

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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.