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Finding the Fourth Proportional to 210,968.78, 291,079.34 and 120,291.67

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Solution

The fourth proportional to 210,968.78, 291,079.34 and 120,291.67 is: 165,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,968.78 : 291,079.34 = 120,291.67 : x
  2. Step 2: Convert to fraction form
    210,968.78/291,079.34 = 120,291.67/x
  3. Step 3: Cross multiply
    210,968.78x = 291,079.34 × 120,291.67
  4. Step 4: Simplify right side
    210,968.78x = 35,014,419,309.64
  5. Step 5: Solve for x
    x = 35,014,419,309.64/210,968.78
  6. Step 6: Final answer
    x = 165,969.68

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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.