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Finding the Fourth Proportional to 77,073.12, 106,358.67 and 43,081.67

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Solution

The fourth proportional to 77,073.12, 106,358.67 and 43,081.67 is: 59,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.12 : 106,358.67 = 43,081.67 : x
  2. Step 2: Convert to fraction form
    77,073.12/106,358.67 = 43,081.67/x
  3. Step 3: Cross multiply
    77,073.12x = 106,358.67 × 43,081.67
  4. Step 4: Simplify right side
    77,073.12x = 4,582,109,388.48
  5. Step 5: Solve for x
    x = 4,582,109,388.48/77,073.12
  6. Step 6: Final answer
    x = 59,451.46

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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.