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Finding the Fourth Proportional to 105,100.56, 145,043.13 and 59,786.54

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Solution

The fourth proportional to 105,100.56, 145,043.13 and 59,786.54 is: 82,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100.56 : 145,043.13 = 59,786.54 : x
  2. Step 2: Convert to fraction form
    105,100.56/145,043.13 = 59,786.54/x
  3. Step 3: Cross multiply
    105,100.56x = 145,043.13 × 59,786.54
  4. Step 4: Simplify right side
    105,100.56x = 8,671,626,168.25
  5. Step 5: Solve for x
    x = 8,671,626,168.25/105,100.56
  6. Step 6: Final answer
    x = 82,507.90

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