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Finding the Fourth Proportional to 210,214.42, 290,102.30 and 119,583.52

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Solution

The fourth proportional to 210,214.42, 290,102.30 and 119,583.52 is: 165,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,214.42 : 290,102.30 = 119,583.52 : x
  2. Step 2: Convert to fraction form
    210,214.42/290,102.30 = 119,583.52/x
  3. Step 3: Cross multiply
    210,214.42x = 290,102.30 × 119,583.52
  4. Step 4: Simplify right side
    210,214.42x = 34,691,454,194.10
  5. Step 5: Solve for x
    x = 34,691,454,194.10/210,214.42
  6. Step 6: Final answer
    x = 165,028.90

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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.