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Finding the Fourth Proportional to 103,674.78, 155,323.53 and 72,017.96

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Solution

The fourth proportional to 103,674.78, 155,323.53 and 72,017.96 is: 107,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674.78 : 155,323.53 = 72,017.96 : x
  2. Step 2: Convert to fraction form
    103,674.78/155,323.53 = 72,017.96/x
  3. Step 3: Cross multiply
    103,674.78x = 155,323.53 × 72,017.96
  4. Step 4: Simplify right side
    103,674.78x = 11,186,083,770.60
  5. Step 5: Solve for x
    x = 11,186,083,770.60/103,674.78
  6. Step 6: Final answer
    x = 107,895.90

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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.