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Finding the Fourth Proportional to 81,071.76, 120,792.23 and 76,544.67

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Solution

The fourth proportional to 81,071.76, 120,792.23 and 76,544.67 is: 114,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,071.76 : 120,792.23 = 76,544.67 : x
  2. Step 2: Convert to fraction form
    81,071.76/120,792.23 = 76,544.67/x
  3. Step 3: Cross multiply
    81,071.76x = 120,792.23 × 76,544.67
  4. Step 4: Simplify right side
    81,071.76x = 9,246,001,001.19
  5. Step 5: Solve for x
    x = 9,246,001,001.19/81,071.76
  6. Step 6: Final answer
    x = 114,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.