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Finding the Fourth Proportional to 65,681.74, 98,522.58 and 21,308.49

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Solution

The fourth proportional to 65,681.74, 98,522.58 and 21,308.49 is: 31,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,681.74 : 98,522.58 = 21,308.49 : x
  2. Step 2: Convert to fraction form
    65,681.74/98,522.58 = 21,308.49/x
  3. Step 3: Cross multiply
    65,681.74x = 98,522.58 × 21,308.49
  4. Step 4: Simplify right side
    65,681.74x = 2,099,367,410.70
  5. Step 5: Solve for x
    x = 2,099,367,410.70/65,681.74
  6. Step 6: Final answer
    x = 31,962.73

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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.