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Finding the Fourth Proportional to 257,803.30, 386,723.37 and 107,892.64

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Solution

The fourth proportional to 257,803.30, 386,723.37 and 107,892.64 is: 161,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,803.30 : 386,723.37 = 107,892.64 : x
  2. Step 2: Convert to fraction form
    257,803.30/386,723.37 = 107,892.64/x
  3. Step 3: Cross multiply
    257,803.30x = 386,723.37 × 107,892.64
  4. Step 4: Simplify right side
    257,803.30x = 41,724,605,339.00
  5. Step 5: Solve for x
    x = 41,724,605,339.00/257,803.30
  6. Step 6: Final answer
    x = 161,846.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.