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Finding the Fourth Proportional to 212,570.88, 318,648.96 and 101,840.64

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Solution

The fourth proportional to 212,570.88, 318,648.96 and 101,840.64 is: 152,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,570.88 : 318,648.96 = 101,840.64 : x
  2. Step 2: Convert to fraction form
    212,570.88/318,648.96 = 101,840.64/x
  3. Step 3: Cross multiply
    212,570.88x = 318,648.96 × 101,840.64
  4. Step 4: Simplify right side
    212,570.88x = 32,451,414,021.73
  5. Step 5: Solve for x
    x = 32,451,414,021.73/212,570.88
  6. Step 6: Final answer
    x = 152,661.62

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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.