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Finding the Fourth Proportional to 103,984, 155,975.90 and 40,833.88

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Solution

The fourth proportional to 103,984, 155,975.90 and 40,833.88 is: 61,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 155,975.90 = 40,833.88 : x
  2. Step 2: Convert to fraction form
    103,984/155,975.90 = 40,833.88/x
  3. Step 3: Cross multiply
    103,984x = 155,975.90 × 40,833.88
  4. Step 4: Simplify right side
    103,984x = 6,369,101,183.49
  5. Step 5: Solve for x
    x = 6,369,101,183.49/103,984
  6. Step 6: Final answer
    x = 61,250.78

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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.