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Finding the Fourth Proportional to 70,905.42, 97,840.44 and 40,692.06

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Solution

The fourth proportional to 70,905.42, 97,840.44 and 40,692.06 is: 56,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905.42 : 97,840.44 = 40,692.06 : x
  2. Step 2: Convert to fraction form
    70,905.42/97,840.44 = 40,692.06/x
  3. Step 3: Cross multiply
    70,905.42x = 97,840.44 × 40,692.06
  4. Step 4: Simplify right side
    70,905.42x = 3,981,329,054.91
  5. Step 5: Solve for x
    x = 3,981,329,054.91/70,905.42
  6. Step 6: Final answer
    x = 56,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.