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Finding the Fourth Proportional to 215,805, 297,807.48 and 120,317.52

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Solution

The fourth proportional to 215,805, 297,807.48 and 120,317.52 is: 166,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,805 : 297,807.48 = 120,317.52 : x
  2. Step 2: Convert to fraction form
    215,805/297,807.48 = 120,317.52/x
  3. Step 3: Cross multiply
    215,805x = 297,807.48 × 120,317.52
  4. Step 4: Simplify right side
    215,805x = 35,831,457,431.05
  5. Step 5: Solve for x
    x = 35,831,457,431.05/215,805
  6. Step 6: Final answer
    x = 166,036.27

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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.