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Finding the Fourth Proportional to 65,708, 98,577.60 and 21,334.88

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Solution

The fourth proportional to 65,708, 98,577.60 and 21,334.88 is: 32,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708 : 98,577.60 = 21,334.88 : x
  2. Step 2: Convert to fraction form
    65,708/98,577.60 = 21,334.88/x
  3. Step 3: Cross multiply
    65,708x = 98,577.60 × 21,334.88
  4. Step 4: Simplify right side
    65,708x = 2,103,141,266.69
  5. Step 5: Solve for x
    x = 2,103,141,266.69/65,708
  6. Step 6: Final answer
    x = 32,007.39

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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.