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Finding the Fourth Proportional to 103,050, 142,209 and 58,338

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Solution

The fourth proportional to 103,050, 142,209 and 58,338 is: 80,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050 : 142,209 = 58,338 : x
  2. Step 2: Convert to fraction form
    103,050/142,209 = 58,338/x
  3. Step 3: Cross multiply
    103,050x = 142,209 × 58,338
  4. Step 4: Simplify right side
    103,050x = 8,296,188,642
  5. Step 5: Solve for x
    x = 8,296,188,642/103,050
  6. Step 6: Final answer
    x = 80,506.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.