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Finding the Fourth Proportional to 212,364.51, 293,057.12 and 120,500.52

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Solution

The fourth proportional to 212,364.51, 293,057.12 and 120,500.52 is: 166,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364.51 : 293,057.12 = 120,500.52 : x
  2. Step 2: Convert to fraction form
    212,364.51/293,057.12 = 120,500.52/x
  3. Step 3: Cross multiply
    212,364.51x = 293,057.12 × 120,500.52
  4. Step 4: Simplify right side
    212,364.51x = 35,313,534,747.20
  5. Step 5: Solve for x
    x = 35,313,534,747.20/212,364.51
  6. Step 6: Final answer
    x = 166,287.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.