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Finding the Fourth Proportional to 150,903, 208,246.14 and 83,835

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Solution

The fourth proportional to 150,903, 208,246.14 and 83,835 is: 115,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,903 : 208,246.14 = 83,835 : x
  2. Step 2: Convert to fraction form
    150,903/208,246.14 = 83,835/x
  3. Step 3: Cross multiply
    150,903x = 208,246.14 × 83,835
  4. Step 4: Simplify right side
    150,903x = 17,458,315,146.90
  5. Step 5: Solve for x
    x = 17,458,315,146.90/150,903
  6. Step 6: Final answer
    x = 115,692.30

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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.