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Finding the Fourth Proportional to 210,219.16, 290,103.26 and 114,728

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Solution

The fourth proportional to 210,219.16, 290,103.26 and 114,728 is: 158,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,219.16 : 290,103.26 = 114,728 : x
  2. Step 2: Convert to fraction form
    210,219.16/290,103.26 = 114,728/x
  3. Step 3: Cross multiply
    210,219.16x = 290,103.26 × 114,728
  4. Step 4: Simplify right side
    210,219.16x = 33,282,966,813.28
  5. Step 5: Solve for x
    x = 33,282,966,813.28/210,219.16
  6. Step 6: Final answer
    x = 158,325.09

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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.