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Finding the Fourth Proportional to 120,528.68, 180,794.54 and 83,078.70

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Solution

The fourth proportional to 120,528.68, 180,794.54 and 83,078.70 is: 124,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,528.68 : 180,794.54 = 83,078.70 : x
  2. Step 2: Convert to fraction form
    120,528.68/180,794.54 = 83,078.70/x
  3. Step 3: Cross multiply
    120,528.68x = 180,794.54 × 83,078.70
  4. Step 4: Simplify right side
    120,528.68x = 15,020,175,350.30
  5. Step 5: Solve for x
    x = 15,020,175,350.30/120,528.68
  6. Step 6: Final answer
    x = 124,619.10

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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.