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Finding the Fourth Proportional to 103,291.98, 154,938 and 33,220.50

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Solution

The fourth proportional to 103,291.98, 154,938 and 33,220.50 is: 49,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,291.98 : 154,938 = 33,220.50 : x
  2. Step 2: Convert to fraction form
    103,291.98/154,938 = 33,220.50/x
  3. Step 3: Cross multiply
    103,291.98x = 154,938 × 33,220.50
  4. Step 4: Simplify right side
    103,291.98x = 5,147,117,829
  5. Step 5: Solve for x
    x = 5,147,117,829/103,291.98
  6. Step 6: Final answer
    x = 49,830.76

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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.