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Finding the Fourth Proportional to 208,927.40, 313,391.10 and 51,157.40

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Solution

The fourth proportional to 208,927.40, 313,391.10 and 51,157.40 is: 76,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,927.40 : 313,391.10 = 51,157.40 : x
  2. Step 2: Convert to fraction form
    208,927.40/313,391.10 = 51,157.40/x
  3. Step 3: Cross multiply
    208,927.40x = 313,391.10 × 51,157.40
  4. Step 4: Simplify right side
    208,927.40x = 16,032,273,859.14
  5. Step 5: Solve for x
    x = 16,032,273,859.14/208,927.40
  6. Step 6: Final answer
    x = 76,736.10

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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.