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Finding the Fourth Proportional to 208,114.20, 312,171.30 and 74,998.80

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Solution

The fourth proportional to 208,114.20, 312,171.30 and 74,998.80 is: 112,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.20 : 312,171.30 = 74,998.80 : x
  2. Step 2: Convert to fraction form
    208,114.20/312,171.30 = 74,998.80/x
  3. Step 3: Cross multiply
    208,114.20x = 312,171.30 × 74,998.80
  4. Step 4: Simplify right side
    208,114.20x = 23,412,472,894.44
  5. Step 5: Solve for x
    x = 23,412,472,894.44/208,114.20
  6. Step 6: Final answer
    x = 112,498.20

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1.5x scale

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.