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Finding the Fourth Proportional to 208,855.70, 288,196.90 and 116,962.17

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Solution

The fourth proportional to 208,855.70, 288,196.90 and 116,962.17 is: 161,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.70 : 288,196.90 = 116,962.17 : x
  2. Step 2: Convert to fraction form
    208,855.70/288,196.90 = 116,962.17/x
  3. Step 3: Cross multiply
    208,855.70x = 288,196.90 × 116,962.17
  4. Step 4: Simplify right side
    208,855.70x = 33,708,134,811.27
  5. Step 5: Solve for x
    x = 33,708,134,811.27/208,855.70
  6. Step 6: Final answer
    x = 161,394.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.