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Finding the Fourth Proportional to 82,792, 124,199.68 and 26,613.28

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Solution

The fourth proportional to 82,792, 124,199.68 and 26,613.28 is: 39,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,792 : 124,199.68 = 26,613.28 : x
  2. Step 2: Convert to fraction form
    82,792/124,199.68 = 26,613.28/x
  3. Step 3: Cross multiply
    82,792x = 124,199.68 × 26,613.28
  4. Step 4: Simplify right side
    82,792x = 3,305,360,859.75
  5. Step 5: Solve for x
    x = 3,305,360,859.75/82,792
  6. Step 6: Final answer
    x = 39,923.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.