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Finding the Fourth Proportional to 208,101.84, 312,192.12 and 65,982.90

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Solution

The fourth proportional to 208,101.84, 312,192.12 and 65,982.90 is: 98,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,101.84 : 312,192.12 = 65,982.90 : x
  2. Step 2: Convert to fraction form
    208,101.84/312,192.12 = 65,982.90/x
  3. Step 3: Cross multiply
    208,101.84x = 312,192.12 × 65,982.90
  4. Step 4: Simplify right side
    208,101.84x = 20,599,341,434.75
  5. Step 5: Solve for x
    x = 20,599,341,434.75/208,101.84
  6. Step 6: Final answer
    x = 98,986.83

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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.