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Finding the Fourth Proportional to 85,384.94, 128,063.01 and 31,338.45

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Solution

The fourth proportional to 85,384.94, 128,063.01 and 31,338.45 is: 47,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.94 : 128,063.01 = 31,338.45 : x
  2. Step 2: Convert to fraction form
    85,384.94/128,063.01 = 31,338.45/x
  3. Step 3: Cross multiply
    85,384.94x = 128,063.01 × 31,338.45
  4. Step 4: Simplify right side
    85,384.94x = 4,013,296,634.24
  5. Step 5: Solve for x
    x = 4,013,296,634.24/85,384.94
  6. Step 6: Final answer
    x = 47,002.39

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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.