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Finding the Fourth Proportional to 65,662.38, 98,495.73 and 21,289.50

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Solution

The fourth proportional to 65,662.38, 98,495.73 and 21,289.50 is: 31,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,662.38 : 98,495.73 = 21,289.50 : x
  2. Step 2: Convert to fraction form
    65,662.38/98,495.73 = 21,289.50/x
  3. Step 3: Cross multiply
    65,662.38x = 98,495.73 × 21,289.50
  4. Step 4: Simplify right side
    65,662.38x = 2,096,924,843.84
  5. Step 5: Solve for x
    x = 2,096,924,843.84/65,662.38
  6. Step 6: Final answer
    x = 31,934.95

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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.