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Finding the Fourth Proportional to 51,672.72, 77,492.16 and 20,080.56

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Solution

The fourth proportional to 51,672.72, 77,492.16 and 20,080.56 is: 30,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672.72 : 77,492.16 = 20,080.56 : x
  2. Step 2: Convert to fraction form
    51,672.72/77,492.16 = 20,080.56/x
  3. Step 3: Cross multiply
    51,672.72x = 77,492.16 × 20,080.56
  4. Step 4: Simplify right side
    51,672.72x = 1,556,085,968.41
  5. Step 5: Solve for x
    x = 1,556,085,968.41/51,672.72
  6. Step 6: Final answer
    x = 30,114.26

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1.5x scale

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.