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Finding the Fourth Proportional to 56,396, 77,829.03 and 31,245.50

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Solution

The fourth proportional to 56,396, 77,829.03 and 31,245.50 is: 43,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,396 : 77,829.03 = 31,245.50 : x
  2. Step 2: Convert to fraction form
    56,396/77,829.03 = 31,245.50/x
  3. Step 3: Cross multiply
    56,396x = 77,829.03 × 31,245.50
  4. Step 4: Simplify right side
    56,396x = 2,431,806,956.87
  5. Step 5: Solve for x
    x = 2,431,806,956.87/56,396
  6. Step 6: Final answer
    x = 43,120.20

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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.