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Finding the Fourth Proportional to 103,765.48, 143,188.26 and 58,441

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Solution

The fourth proportional to 103,765.48, 143,188.26 and 58,441 is: 80,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,765.48 : 143,188.26 = 58,441 : x
  2. Step 2: Convert to fraction form
    103,765.48/143,188.26 = 58,441/x
  3. Step 3: Cross multiply
    103,765.48x = 143,188.26 × 58,441
  4. Step 4: Simplify right side
    103,765.48x = 8,368,065,102.66
  5. Step 5: Solve for x
    x = 8,368,065,102.66/103,765.48
  6. Step 6: Final answer
    x = 80,644.02

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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.