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Finding the Fourth Proportional to 103,840, 143,299.09 and 56,093.33

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Solution

The fourth proportional to 103,840, 143,299.09 and 56,093.33 is: 77,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,840 : 143,299.09 = 56,093.33 : x
  2. Step 2: Convert to fraction form
    103,840/143,299.09 = 56,093.33/x
  3. Step 3: Cross multiply
    103,840x = 143,299.09 × 56,093.33
  4. Step 4: Simplify right side
    103,840x = 8,038,123,144.07
  5. Step 5: Solve for x
    x = 8,038,123,144.07/103,840
  6. Step 6: Final answer
    x = 77,408.74

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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.