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Finding the Fourth Proportional to 65,214, 89,995.68 and 35,406

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Solution

The fourth proportional to 65,214, 89,995.68 and 35,406 is: 48,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214 : 89,995.68 = 35,406 : x
  2. Step 2: Convert to fraction form
    65,214/89,995.68 = 35,406/x
  3. Step 3: Cross multiply
    65,214x = 89,995.68 × 35,406
  4. Step 4: Simplify right side
    65,214x = 3,186,387,046.08
  5. Step 5: Solve for x
    x = 3,186,387,046.08/65,214
  6. Step 6: Final answer
    x = 48,860.48

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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.