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Finding the Fourth Proportional to 65,902.70, 90,946.16 and 35,688.03

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Solution

The fourth proportional to 65,902.70, 90,946.16 and 35,688.03 is: 49,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.70 : 90,946.16 = 35,688.03 : x
  2. Step 2: Convert to fraction form
    65,902.70/90,946.16 = 35,688.03/x
  3. Step 3: Cross multiply
    65,902.70x = 90,946.16 × 35,688.03
  4. Step 4: Simplify right side
    65,902.70x = 3,245,688,900.81
  5. Step 5: Solve for x
    x = 3,245,688,900.81/65,902.70
  6. Step 6: Final answer
    x = 49,249.71

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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.