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Finding the Fourth Proportional to 210,384.42, 290,291.42 and 119,735

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Solution

The fourth proportional to 210,384.42, 290,291.42 and 119,735 is: 165,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,384.42 : 290,291.42 = 119,735 : x
  2. Step 2: Convert to fraction form
    210,384.42/290,291.42 = 119,735/x
  3. Step 3: Cross multiply
    210,384.42x = 290,291.42 × 119,735
  4. Step 4: Simplify right side
    210,384.42x = 34,758,043,173.70
  5. Step 5: Solve for x
    x = 34,758,043,173.70/210,384.42
  6. Step 6: Final answer
    x = 165,212.06

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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.