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Finding the Fourth Proportional to 212,820.56, 293,694.36 and 117,330.64

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Solution

The fourth proportional to 212,820.56, 293,694.36 and 117,330.64 is: 161,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,820.56 : 293,694.36 = 117,330.64 : x
  2. Step 2: Convert to fraction form
    212,820.56/293,694.36 = 117,330.64/x
  3. Step 3: Cross multiply
    212,820.56x = 293,694.36 × 117,330.64
  4. Step 4: Simplify right side
    212,820.56x = 34,459,347,223.19
  5. Step 5: Solve for x
    x = 34,459,347,223.19/212,820.56
  6. Step 6: Final answer
    x = 161,917.38

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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.