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Finding the Fourth Proportional to 65,808.94, 98,714.17 and 18,421.21

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Solution

The fourth proportional to 65,808.94, 98,714.17 and 18,421.21 is: 27,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808.94 : 98,714.17 = 18,421.21 : x
  2. Step 2: Convert to fraction form
    65,808.94/98,714.17 = 18,421.21/x
  3. Step 3: Cross multiply
    65,808.94x = 98,714.17 × 18,421.21
  4. Step 4: Simplify right side
    65,808.94x = 1,818,434,455.55
  5. Step 5: Solve for x
    x = 1,818,434,455.55/65,808.94
  6. Step 6: Final answer
    x = 27,632.03

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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.