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Finding the Fourth Proportional to 65,684.87, 98,541.14 and 21,308.16

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Solution

The fourth proportional to 65,684.87, 98,541.14 and 21,308.16 is: 31,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684.87 : 98,541.14 = 21,308.16 : x
  2. Step 2: Convert to fraction form
    65,684.87/98,541.14 = 21,308.16/x
  3. Step 3: Cross multiply
    65,684.87x = 98,541.14 × 21,308.16
  4. Step 4: Simplify right side
    65,684.87x = 2,099,730,184.62
  5. Step 5: Solve for x
    x = 2,099,730,184.62/65,684.87
  6. Step 6: Final answer
    x = 31,966.73

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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.