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Finding the Fourth Proportional to 120,564.98, 180,810.52 and 83,364.11

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Solution

The fourth proportional to 120,564.98, 180,810.52 and 83,364.11 is: 125,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,564.98 : 180,810.52 = 83,364.11 : x
  2. Step 2: Convert to fraction form
    120,564.98/180,810.52 = 83,364.11/x
  3. Step 3: Cross multiply
    120,564.98x = 180,810.52 × 83,364.11
  4. Step 4: Simplify right side
    120,564.98x = 15,073,108,078.44
  5. Step 5: Solve for x
    x = 15,073,108,078.44/120,564.98
  6. Step 6: Final answer
    x = 125,020.62

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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.