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Finding the Fourth Proportional to 210,299.64, 290,209.64 and 119,653.62

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Solution

The fourth proportional to 210,299.64, 290,209.64 and 119,653.62 is: 165,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,299.64 : 290,209.64 = 119,653.62 : x
  2. Step 2: Convert to fraction form
    210,299.64/290,209.64 = 119,653.62/x
  3. Step 3: Cross multiply
    210,299.64x = 290,209.64 × 119,653.62
  4. Step 4: Simplify right side
    210,299.64x = 34,724,633,984.90
  5. Step 5: Solve for x
    x = 34,724,633,984.90/210,299.64
  6. Step 6: Final answer
    x = 165,119.80

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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.