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Finding the Fourth Proportional to 89,706, 134,220.42 and 53,548.50

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Solution

The fourth proportional to 89,706, 134,220.42 and 53,548.50 is: 80,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706 : 134,220.42 = 53,548.50 : x
  2. Step 2: Convert to fraction form
    89,706/134,220.42 = 53,548.50/x
  3. Step 3: Cross multiply
    89,706x = 134,220.42 × 53,548.50
  4. Step 4: Simplify right side
    89,706x = 7,187,302,160.37
  5. Step 5: Solve for x
    x = 7,187,302,160.37/89,706
  6. Step 6: Final answer
    x = 80,120.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.