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Finding the Fourth Proportional to 103,914, 143,415.36 and 58,601.28

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Solution

The fourth proportional to 103,914, 143,415.36 and 58,601.28 is: 80,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,914 : 143,415.36 = 58,601.28 : x
  2. Step 2: Convert to fraction form
    103,914/143,415.36 = 58,601.28/x
  3. Step 3: Cross multiply
    103,914x = 143,415.36 × 58,601.28
  4. Step 4: Simplify right side
    103,914x = 8,404,323,667.66
  5. Step 5: Solve for x
    x = 8,404,323,667.66/103,914
  6. Step 6: Final answer
    x = 80,877.68

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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.