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Finding the Fourth Proportional to 126,978.09, 190,506.60 and 52,104.30

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Solution

The fourth proportional to 126,978.09, 190,506.60 and 52,104.30 is: 78,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,978.09 : 190,506.60 = 52,104.30 : x
  2. Step 2: Convert to fraction form
    126,978.09/190,506.60 = 52,104.30/x
  3. Step 3: Cross multiply
    126,978.09x = 190,506.60 × 52,104.30
  4. Step 4: Simplify right side
    126,978.09x = 9,926,213,038.38
  5. Step 5: Solve for x
    x = 9,926,213,038.38/126,978.09
  6. Step 6: Final answer
    x = 78,172.64

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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.