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Finding the Fourth Proportional to 65,684.94, 98,541.24 and 21,308.24

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Solution

The fourth proportional to 65,684.94, 98,541.24 and 21,308.24 is: 31,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684.94 : 98,541.24 = 21,308.24 : x
  2. Step 2: Convert to fraction form
    65,684.94/98,541.24 = 21,308.24/x
  3. Step 3: Cross multiply
    65,684.94x = 98,541.24 × 21,308.24
  4. Step 4: Simplify right side
    65,684.94x = 2,099,740,391.82
  5. Step 5: Solve for x
    x = 2,099,740,391.82/65,684.94
  6. Step 6: Final answer
    x = 31,966.85

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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.