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Finding the Fourth Proportional to 53,198.47, 79,698.07 and 47,721.25

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Solution

The fourth proportional to 53,198.47, 79,698.07 and 47,721.25 is: 71,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.47 : 79,698.07 = 47,721.25 : x
  2. Step 2: Convert to fraction form
    53,198.47/79,698.07 = 47,721.25/x
  3. Step 3: Cross multiply
    53,198.47x = 79,698.07 × 47,721.25
  4. Step 4: Simplify right side
    53,198.47x = 3,803,291,522.99
  5. Step 5: Solve for x
    x = 3,803,291,522.99/53,198.47
  6. Step 6: Final answer
    x = 71,492.50

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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.