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Finding the Fourth Proportional to 105,060, 144,982.80 and 57,313.54

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Solution

The fourth proportional to 105,060, 144,982.80 and 57,313.54 is: 79,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,060 : 144,982.80 = 57,313.54 : x
  2. Step 2: Convert to fraction form
    105,060/144,982.80 = 57,313.54/x
  3. Step 3: Cross multiply
    105,060x = 144,982.80 × 57,313.54
  4. Step 4: Simplify right side
    105,060x = 8,309,477,507.11
  5. Step 5: Solve for x
    x = 8,309,477,507.11/105,060
  6. Step 6: Final answer
    x = 79,092.69

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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.