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Finding the Fourth Proportional to 208,978.29, 313,467.40 and 51,205.38

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Solution

The fourth proportional to 208,978.29, 313,467.40 and 51,205.38 is: 76,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.29 : 313,467.40 = 51,205.38 : x
  2. Step 2: Convert to fraction form
    208,978.29/313,467.40 = 51,205.38/x
  3. Step 3: Cross multiply
    208,978.29x = 313,467.40 × 51,205.38
  4. Step 4: Simplify right side
    208,978.29x = 16,051,216,223.12
  5. Step 5: Solve for x
    x = 16,051,216,223.12/208,978.29
  6. Step 6: Final answer
    x = 76,808.06

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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.