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Finding the Fourth Proportional to 78,644.50, 117,986.19 and 23,240.50

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Solution

The fourth proportional to 78,644.50, 117,986.19 and 23,240.50 is: 34,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.50 : 117,986.19 = 23,240.50 : x
  2. Step 2: Convert to fraction form
    78,644.50/117,986.19 = 23,240.50/x
  3. Step 3: Cross multiply
    78,644.50x = 117,986.19 × 23,240.50
  4. Step 4: Simplify right side
    78,644.50x = 2,742,058,048.70
  5. Step 5: Solve for x
    x = 2,742,058,048.70/78,644.50
  6. Step 6: Final answer
    x = 34,866.49

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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.