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Finding the Fourth Proportional to 103,821, 155,750.94 and 48,417

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Solution

The fourth proportional to 103,821, 155,750.94 and 48,417 is: 72,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,821 : 155,750.94 = 48,417 : x
  2. Step 2: Convert to fraction form
    103,821/155,750.94 = 48,417/x
  3. Step 3: Cross multiply
    103,821x = 155,750.94 × 48,417
  4. Step 4: Simplify right side
    103,821x = 7,540,993,261.98
  5. Step 5: Solve for x
    x = 7,540,993,261.98/103,821
  6. Step 6: Final answer
    x = 72,634.57

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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.