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Finding the Fourth Proportional to 97,647, 134,767.22 and 61,840.34

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Solution

The fourth proportional to 97,647, 134,767.22 and 61,840.34 is: 85,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647 : 134,767.22 = 61,840.34 : x
  2. Step 2: Convert to fraction form
    97,647/134,767.22 = 61,840.34/x
  3. Step 3: Cross multiply
    97,647x = 134,767.22 × 61,840.34
  4. Step 4: Simplify right side
    97,647x = 8,334,050,705.65
  5. Step 5: Solve for x
    x = 8,334,050,705.65/97,647
  6. Step 6: Final answer
    x = 85,348.76

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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.