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Finding the Fourth Proportional to 212,709.66, 293,541.27 and 117,219.78

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Solution

The fourth proportional to 212,709.66, 293,541.27 and 117,219.78 is: 161,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,709.66 : 293,541.27 = 117,219.78 : x
  2. Step 2: Convert to fraction form
    212,709.66/293,541.27 = 117,219.78/x
  3. Step 3: Cross multiply
    212,709.66x = 293,541.27 × 117,219.78
  4. Step 4: Simplify right side
    212,709.66x = 34,408,843,090.32
  5. Step 5: Solve for x
    x = 34,408,843,090.32/212,709.66
  6. Step 6: Final answer
    x = 161,764.37

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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.