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Finding the Fourth Proportional to 98,578.72, 147,846.48 and 28,442.80

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Solution

The fourth proportional to 98,578.72, 147,846.48 and 28,442.80 is: 42,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.72 : 147,846.48 = 28,442.80 : x
  2. Step 2: Convert to fraction form
    98,578.72/147,846.48 = 28,442.80/x
  3. Step 3: Cross multiply
    98,578.72x = 147,846.48 × 28,442.80
  4. Step 4: Simplify right side
    98,578.72x = 4,205,167,861.34
  5. Step 5: Solve for x
    x = 4,205,167,861.34/98,578.72
  6. Step 6: Final answer
    x = 42,657.97

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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.