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Finding the Fourth Proportional to 65,072.70, 89,809.74 and 38,229.84

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Solution

The fourth proportional to 65,072.70, 89,809.74 and 38,229.84 is: 52,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.70 : 89,809.74 = 38,229.84 : x
  2. Step 2: Convert to fraction form
    65,072.70/89,809.74 = 38,229.84/x
  3. Step 3: Cross multiply
    65,072.70x = 89,809.74 × 38,229.84
  4. Step 4: Simplify right side
    65,072.70x = 3,433,411,990.64
  5. Step 5: Solve for x
    x = 3,433,411,990.64/65,072.70
  6. Step 6: Final answer
    x = 52,762.71

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1.5x scale

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.