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Finding the Fourth Proportional to 208,758.34, 313,157.94 and 58,999.78

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Solution

The fourth proportional to 208,758.34, 313,157.94 and 58,999.78 is: 88,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,758.34 : 313,157.94 = 58,999.78 : x
  2. Step 2: Convert to fraction form
    208,758.34/313,157.94 = 58,999.78/x
  3. Step 3: Cross multiply
    208,758.34x = 313,157.94 × 58,999.78
  4. Step 4: Simplify right side
    208,758.34x = 18,476,249,565.25
  5. Step 5: Solve for x
    x = 18,476,249,565.25/208,758.34
  6. Step 6: Final answer
    x = 88,505.44

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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.