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Finding the Fourth Proportional to 98,406.72, 147,519.12 and 39,228

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Solution

The fourth proportional to 98,406.72, 147,519.12 and 39,228 is: 58,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406.72 : 147,519.12 = 39,228 : x
  2. Step 2: Convert to fraction form
    98,406.72/147,519.12 = 39,228/x
  3. Step 3: Cross multiply
    98,406.72x = 147,519.12 × 39,228
  4. Step 4: Simplify right side
    98,406.72x = 5,786,880,039.36
  5. Step 5: Solve for x
    x = 5,786,880,039.36/98,406.72
  6. Step 6: Final answer
    x = 58,805.74

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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.