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Finding the Fourth Proportional to 51,889.83, 77,782.74 and 20,256.40

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Solution

The fourth proportional to 51,889.83, 77,782.74 and 20,256.40 is: 30,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,889.83 : 77,782.74 = 20,256.40 : x
  2. Step 2: Convert to fraction form
    51,889.83/77,782.74 = 20,256.40/x
  3. Step 3: Cross multiply
    51,889.83x = 77,782.74 × 20,256.40
  4. Step 4: Simplify right side
    51,889.83x = 1,575,598,138.06
  5. Step 5: Solve for x
    x = 1,575,598,138.06/51,889.83
  6. Step 6: Final answer
    x = 30,364.29

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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.