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Finding the Fourth Proportional to 100,783.41, 151,169.64 and 30,657.25

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Solution

The fourth proportional to 100,783.41, 151,169.64 and 30,657.25 is: 45,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,783.41 : 151,169.64 = 30,657.25 : x
  2. Step 2: Convert to fraction form
    100,783.41/151,169.64 = 30,657.25/x
  3. Step 3: Cross multiply
    100,783.41x = 151,169.64 × 30,657.25
  4. Step 4: Simplify right side
    100,783.41x = 4,634,445,445.89
  5. Step 5: Solve for x
    x = 4,634,445,445.89/100,783.41
  6. Step 6: Final answer
    x = 45,984.21

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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.