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Finding the Fourth Proportional to 205,343.16, 283,374 and 115,919.16

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Solution

The fourth proportional to 205,343.16, 283,374 and 115,919.16 is: 159,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,343.16 : 283,374 = 115,919.16 : x
  2. Step 2: Convert to fraction form
    205,343.16/283,374 = 115,919.16/x
  3. Step 3: Cross multiply
    205,343.16x = 283,374 × 115,919.16
  4. Step 4: Simplify right side
    205,343.16x = 32,848,476,045.84
  5. Step 5: Solve for x
    x = 32,848,476,045.84/205,343.16
  6. Step 6: Final answer
    x = 159,968.69

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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.