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Finding the Fourth Proportional to 65,073, 89,800.80 and 35,265

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Solution

The fourth proportional to 65,073, 89,800.80 and 35,265 is: 48,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,073 : 89,800.80 = 35,265 : x
  2. Step 2: Convert to fraction form
    65,073/89,800.80 = 35,265/x
  3. Step 3: Cross multiply
    65,073x = 89,800.80 × 35,265
  4. Step 4: Simplify right side
    65,073x = 3,166,825,212
  5. Step 5: Solve for x
    x = 3,166,825,212/65,073
  6. Step 6: Final answer
    x = 48,665.73

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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.