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Finding the Fourth Proportional to 210,808.26, 290,922.90 and 120,149.58

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Solution

The fourth proportional to 210,808.26, 290,922.90 and 120,149.58 is: 165,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,808.26 : 290,922.90 = 120,149.58 : x
  2. Step 2: Convert to fraction form
    210,808.26/290,922.90 = 120,149.58/x
  3. Step 3: Cross multiply
    210,808.26x = 290,922.90 × 120,149.58
  4. Step 4: Simplify right side
    210,808.26x = 34,954,264,247.38
  5. Step 5: Solve for x
    x = 34,954,264,247.38/210,808.26
  6. Step 6: Final answer
    x = 165,810.70

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1.5x scale

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.