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Finding the Fourth Proportional to 105,115.54, 145,059.96 and 57,370

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Solution

The fourth proportional to 105,115.54, 145,059.96 and 57,370 is: 79,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115.54 : 145,059.96 = 57,370 : x
  2. Step 2: Convert to fraction form
    105,115.54/145,059.96 = 57,370/x
  3. Step 3: Cross multiply
    105,115.54x = 145,059.96 × 57,370
  4. Step 4: Simplify right side
    105,115.54x = 8,322,089,905.20
  5. Step 5: Solve for x
    x = 8,322,089,905.20/105,115.54
  6. Step 6: Final answer
    x = 79,170.88

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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.