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Finding the Fourth Proportional to 56,393.50, 77,825.58 and 31,243

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Solution

The fourth proportional to 56,393.50, 77,825.58 and 31,243 is: 43,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,393.50 : 77,825.58 = 31,243 : x
  2. Step 2: Convert to fraction form
    56,393.50/77,825.58 = 31,243/x
  3. Step 3: Cross multiply
    56,393.50x = 77,825.58 × 31,243
  4. Step 4: Simplify right side
    56,393.50x = 2,431,504,595.94
  5. Step 5: Solve for x
    x = 2,431,504,595.94/56,393.50
  6. Step 6: Final answer
    x = 43,116.75

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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.