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Finding the Fourth Proportional to 210,264.54, 290,121.75 and 120,823.26

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Solution

The fourth proportional to 210,264.54, 290,121.75 and 120,823.26 is: 166,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,264.54 : 290,121.75 = 120,823.26 : x
  2. Step 2: Convert to fraction form
    210,264.54/290,121.75 = 120,823.26/x
  3. Step 3: Cross multiply
    210,264.54x = 290,121.75 × 120,823.26
  4. Step 4: Simplify right side
    210,264.54x = 35,053,455,631.91
  5. Step 5: Solve for x
    x = 35,053,455,631.91/210,264.54
  6. Step 6: Final answer
    x = 166,711.21

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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.