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Finding the Fourth Proportional to 98,505.72, 147,736.98 and 28,369.80

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Solution

The fourth proportional to 98,505.72, 147,736.98 and 28,369.80 is: 42,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,505.72 : 147,736.98 = 28,369.80 : x
  2. Step 2: Convert to fraction form
    98,505.72/147,736.98 = 28,369.80/x
  3. Step 3: Cross multiply
    98,505.72x = 147,736.98 × 28,369.80
  4. Step 4: Simplify right side
    98,505.72x = 4,191,268,575.20
  5. Step 5: Solve for x
    x = 4,191,268,575.20/98,505.72
  6. Step 6: Final answer
    x = 42,548.48

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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.