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Finding the Fourth Proportional to 210,168.69, 290,039.21 and 119,537.72

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Solution

The fourth proportional to 210,168.69, 290,039.21 and 119,537.72 is: 164,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,168.69 : 290,039.21 = 119,537.72 : x
  2. Step 2: Convert to fraction form
    210,168.69/290,039.21 = 119,537.72/x
  3. Step 3: Cross multiply
    210,168.69x = 290,039.21 × 119,537.72
  4. Step 4: Simplify right side
    210,168.69x = 34,670,625,874.00
  5. Step 5: Solve for x
    x = 34,670,625,874.00/210,168.69
  6. Step 6: Final answer
    x = 164,965.70

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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.