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Finding the Fourth Proportional to 103,489, 142,815 and 58,777

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Solution

The fourth proportional to 103,489, 142,815 and 58,777 is: 81,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489 : 142,815 = 58,777 : x
  2. Step 2: Convert to fraction form
    103,489/142,815 = 58,777/x
  3. Step 3: Cross multiply
    103,489x = 142,815 × 58,777
  4. Step 4: Simplify right side
    103,489x = 8,394,237,255
  5. Step 5: Solve for x
    x = 8,394,237,255/103,489
  6. Step 6: Final answer
    x = 81,112.36

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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.