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Finding the Fourth Proportional to 55,851.88, 77,074.50 and 30,701.80

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Solution

The fourth proportional to 55,851.88, 77,074.50 and 30,701.80 is: 42,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,851.88 : 77,074.50 = 30,701.80 : x
  2. Step 2: Convert to fraction form
    55,851.88/77,074.50 = 30,701.80/x
  3. Step 3: Cross multiply
    55,851.88x = 77,074.50 × 30,701.80
  4. Step 4: Simplify right side
    55,851.88x = 2,366,325,884.10
  5. Step 5: Solve for x
    x = 2,366,325,884.10/55,851.88
  6. Step 6: Final answer
    x = 42,367.88

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1.5x scale

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.