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Finding the Fourth Proportional to 65,686.72, 98,504.64 and 21,302.80

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Solution

The fourth proportional to 65,686.72, 98,504.64 and 21,302.80 is: 31,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.72 : 98,504.64 = 21,302.80 : x
  2. Step 2: Convert to fraction form
    65,686.72/98,504.64 = 21,302.80/x
  3. Step 3: Cross multiply
    65,686.72x = 98,504.64 × 21,302.80
  4. Step 4: Simplify right side
    65,686.72x = 2,098,424,644.99
  5. Step 5: Solve for x
    x = 2,098,424,644.99/65,686.72
  6. Step 6: Final answer
    x = 31,945.95

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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.