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Finding the Fourth Proportional to 85,803, 128,723.94 and 30,399

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Solution

The fourth proportional to 85,803, 128,723.94 and 30,399 is: 45,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,803 : 128,723.94 = 30,399 : x
  2. Step 2: Convert to fraction form
    85,803/128,723.94 = 30,399/x
  3. Step 3: Cross multiply
    85,803x = 128,723.94 × 30,399
  4. Step 4: Simplify right side
    85,803x = 3,913,079,052.06
  5. Step 5: Solve for x
    x = 3,913,079,052.06/85,803
  6. Step 6: Final answer
    x = 45,605.39

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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.