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Finding the Fourth Proportional to 65,314.69, 90,135.32 and 36,640.74

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Solution

The fourth proportional to 65,314.69, 90,135.32 and 36,640.74 is: 50,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.69 : 90,135.32 = 36,640.74 : x
  2. Step 2: Convert to fraction form
    65,314.69/90,135.32 = 36,640.74/x
  3. Step 3: Cross multiply
    65,314.69x = 90,135.32 × 36,640.74
  4. Step 4: Simplify right side
    65,314.69x = 3,302,624,472.73
  5. Step 5: Solve for x
    x = 3,302,624,472.73/65,314.69
  6. Step 6: Final answer
    x = 50,564.81

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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.