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Finding the Fourth Proportional to 210,730.97, 290,813.80 and 120,085

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Solution

The fourth proportional to 210,730.97, 290,813.80 and 120,085 is: 165,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,730.97 : 290,813.80 = 120,085 : x
  2. Step 2: Convert to fraction form
    210,730.97/290,813.80 = 120,085/x
  3. Step 3: Cross multiply
    210,730.97x = 290,813.80 × 120,085
  4. Step 4: Simplify right side
    210,730.97x = 34,922,375,173
  5. Step 5: Solve for x
    x = 34,922,375,173/210,730.97
  6. Step 6: Final answer
    x = 165,720.18

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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.