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Finding the Fourth Proportional to 56,751.12, 78,313.50 and 31,599

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Solution

The fourth proportional to 56,751.12, 78,313.50 and 31,599 is: 43,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,751.12 : 78,313.50 = 31,599 : x
  2. Step 2: Convert to fraction form
    56,751.12/78,313.50 = 31,599/x
  3. Step 3: Cross multiply
    56,751.12x = 78,313.50 × 31,599
  4. Step 4: Simplify right side
    56,751.12x = 2,474,628,286.50
  5. Step 5: Solve for x
    x = 2,474,628,286.50/56,751.12
  6. Step 6: Final answer
    x = 43,604.92

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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.