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Finding the Fourth Proportional to 120,776.40, 180,945.90 and 103,280.40

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Solution

The fourth proportional to 120,776.40, 180,945.90 and 103,280.40 is: 154,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,776.40 : 180,945.90 = 103,280.40 : x
  2. Step 2: Convert to fraction form
    120,776.40/180,945.90 = 103,280.40/x
  3. Step 3: Cross multiply
    120,776.40x = 180,945.90 × 103,280.40
  4. Step 4: Simplify right side
    120,776.40x = 18,688,164,930.36
  5. Step 5: Solve for x
    x = 18,688,164,930.36/120,776.40
  6. Step 6: Final answer
    x = 154,733.58

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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.