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Finding the Fourth Proportional to 53,197.72, 79,696.92 and 47,720.50

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Solution

The fourth proportional to 53,197.72, 79,696.92 and 47,720.50 is: 71,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,197.72 : 79,696.92 = 47,720.50 : x
  2. Step 2: Convert to fraction form
    53,197.72/79,696.92 = 47,720.50/x
  3. Step 3: Cross multiply
    53,197.72x = 79,696.92 × 47,720.50
  4. Step 4: Simplify right side
    53,197.72x = 3,803,176,870.86
  5. Step 5: Solve for x
    x = 3,803,176,870.86/53,197.72
  6. Step 6: Final answer
    x = 71,491.35

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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.