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Finding the Fourth Proportional to 200,291.40, 300,048.30 and 111,385.80

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Solution

The fourth proportional to 200,291.40, 300,048.30 and 111,385.80 is: 166,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,291.40 : 300,048.30 = 111,385.80 : x
  2. Step 2: Convert to fraction form
    200,291.40/300,048.30 = 111,385.80/x
  3. Step 3: Cross multiply
    200,291.40x = 300,048.30 × 111,385.80
  4. Step 4: Simplify right side
    200,291.40x = 33,421,119,934.14
  5. Step 5: Solve for x
    x = 33,421,119,934.14/200,291.40
  6. Step 6: Final answer
    x = 166,862.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.