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Finding the Fourth Proportional to 210,696.15, 290,742.09 and 120,048.66

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Solution

The fourth proportional to 210,696.15, 290,742.09 and 120,048.66 is: 165,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,696.15 : 290,742.09 = 120,048.66 : x
  2. Step 2: Convert to fraction form
    210,696.15/290,742.09 = 120,048.66/x
  3. Step 3: Cross multiply
    210,696.15x = 290,742.09 × 120,048.66
  4. Step 4: Simplify right side
    210,696.15x = 34,903,198,310.10
  5. Step 5: Solve for x
    x = 34,903,198,310.10/210,696.15
  6. Step 6: Final answer
    x = 165,656.55

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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.