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Finding the Fourth Proportional to 55,449, 76,519.53 and 31,575.68

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Solution

The fourth proportional to 55,449, 76,519.53 and 31,575.68 is: 43,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,449 : 76,519.53 = 31,575.68 : x
  2. Step 2: Convert to fraction form
    55,449/76,519.53 = 31,575.68/x
  3. Step 3: Cross multiply
    55,449x = 76,519.53 × 31,575.68
  4. Step 4: Simplify right side
    55,449x = 2,416,156,193.03
  5. Step 5: Solve for x
    x = 2,416,156,193.03/55,449
  6. Step 6: Final answer
    x = 43,574.39

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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.