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Finding the Fourth Proportional to 65,709, 98,579.10 and 21,335.88

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Solution

The fourth proportional to 65,709, 98,579.10 and 21,335.88 is: 32,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709 : 98,579.10 = 21,335.88 : x
  2. Step 2: Convert to fraction form
    65,709/98,579.10 = 21,335.88/x
  3. Step 3: Cross multiply
    65,709x = 98,579.10 × 21,335.88
  4. Step 4: Simplify right side
    65,709x = 2,103,271,848.11
  5. Step 5: Solve for x
    x = 2,103,271,848.11/65,709
  6. Step 6: Final answer
    x = 32,008.89

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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.