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Finding the Fourth Proportional to 103,825.50, 155,757.71 and 48,421.50

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Solution

The fourth proportional to 103,825.50, 155,757.71 and 48,421.50 is: 72,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825.50 : 155,757.71 = 48,421.50 : x
  2. Step 2: Convert to fraction form
    103,825.50/155,757.71 = 48,421.50/x
  3. Step 3: Cross multiply
    103,825.50x = 155,757.71 × 48,421.50
  4. Step 4: Simplify right side
    103,825.50x = 7,542,021,954.77
  5. Step 5: Solve for x
    x = 7,542,021,954.77/103,825.50
  6. Step 6: Final answer
    x = 72,641.33

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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.