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Finding the Fourth Proportional to 51,255, 70,715.43 and 40,465.80

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Solution

The fourth proportional to 51,255, 70,715.43 and 40,465.80 is: 55,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255 : 70,715.43 = 40,465.80 : x
  2. Step 2: Convert to fraction form
    51,255/70,715.43 = 40,465.80/x
  3. Step 3: Cross multiply
    51,255x = 70,715.43 × 40,465.80
  4. Step 4: Simplify right side
    51,255x = 2,861,556,447.29
  5. Step 5: Solve for x
    x = 2,861,556,447.29/51,255
  6. Step 6: Final answer
    x = 55,829.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.