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Finding the Fourth Proportional to 150,930, 208,290.24 and 83,862

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Solution

The fourth proportional to 150,930, 208,290.24 and 83,862 is: 115,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930 : 208,290.24 = 83,862 : x
  2. Step 2: Convert to fraction form
    150,930/208,290.24 = 83,862/x
  3. Step 3: Cross multiply
    150,930x = 208,290.24 × 83,862
  4. Step 4: Simplify right side
    150,930x = 17,467,636,106.88
  5. Step 5: Solve for x
    x = 17,467,636,106.88/150,930
  6. Step 6: Final answer
    x = 115,733.36

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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.