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Finding the Fourth Proportional to 85,865.88, 128,799.18 and 30,423

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Solution

The fourth proportional to 85,865.88, 128,799.18 and 30,423 is: 45,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,865.88 : 128,799.18 = 30,423 : x
  2. Step 2: Convert to fraction form
    85,865.88/128,799.18 = 30,423/x
  3. Step 3: Cross multiply
    85,865.88x = 128,799.18 × 30,423
  4. Step 4: Simplify right side
    85,865.88x = 3,918,457,453.14
  5. Step 5: Solve for x
    x = 3,918,457,453.14/85,865.88
  6. Step 6: Final answer
    x = 45,634.63

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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.