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Finding the Fourth Proportional to 98,570.76, 147,858.77 and 28,450

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Solution

The fourth proportional to 98,570.76, 147,858.77 and 28,450 is: 42,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,570.76 : 147,858.77 = 28,450 : x
  2. Step 2: Convert to fraction form
    98,570.76/147,858.77 = 28,450/x
  3. Step 3: Cross multiply
    98,570.76x = 147,858.77 × 28,450
  4. Step 4: Simplify right side
    98,570.76x = 4,206,582,006.50
  5. Step 5: Solve for x
    x = 4,206,582,006.50/98,570.76
  6. Step 6: Final answer
    x = 42,675.76

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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.