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Finding the Fourth Proportional to 135,937.46, 187,661.88 and 84,978.54

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Solution

The fourth proportional to 135,937.46, 187,661.88 and 84,978.54 is: 117,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,937.46 : 187,661.88 = 84,978.54 : x
  2. Step 2: Convert to fraction form
    135,937.46/187,661.88 = 84,978.54/x
  3. Step 3: Cross multiply
    135,937.46x = 187,661.88 × 84,978.54
  4. Step 4: Simplify right side
    135,937.46x = 15,947,232,576.06
  5. Step 5: Solve for x
    x = 15,947,232,576.06/135,937.46
  6. Step 6: Final answer
    x = 117,313.01

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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.