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Finding the Fourth Proportional to 208,296.12, 312,394.80 and 89,902.80

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Solution

The fourth proportional to 208,296.12, 312,394.80 and 89,902.80 is: 134,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,296.12 : 312,394.80 = 89,902.80 : x
  2. Step 2: Convert to fraction form
    208,296.12/312,394.80 = 89,902.80/x
  3. Step 3: Cross multiply
    208,296.12x = 312,394.80 × 89,902.80
  4. Step 4: Simplify right side
    208,296.12x = 28,085,167,225.44
  5. Step 5: Solve for x
    x = 28,085,167,225.44/208,296.12
  6. Step 6: Final answer
    x = 134,832.89

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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.