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Finding the Fourth Proportional to 65,017, 89,723.46 and 35,209

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Solution

The fourth proportional to 65,017, 89,723.46 and 35,209 is: 48,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017 : 89,723.46 = 35,209 : x
  2. Step 2: Convert to fraction form
    65,017/89,723.46 = 35,209/x
  3. Step 3: Cross multiply
    65,017x = 89,723.46 × 35,209
  4. Step 4: Simplify right side
    65,017x = 3,159,073,303.14
  5. Step 5: Solve for x
    x = 3,159,073,303.14/65,017
  6. Step 6: Final answer
    x = 48,588.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.