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Finding the Fourth Proportional to 77,486, 106,880.76 and 47,679.92

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Solution

The fourth proportional to 77,486, 106,880.76 and 47,679.92 is: 65,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486 : 106,880.76 = 47,679.92 : x
  2. Step 2: Convert to fraction form
    77,486/106,880.76 = 47,679.92/x
  3. Step 3: Cross multiply
    77,486x = 106,880.76 × 47,679.92
  4. Step 4: Simplify right side
    77,486x = 5,096,066,086.34
  5. Step 5: Solve for x
    x = 5,096,066,086.34/77,486
  6. Step 6: Final answer
    x = 65,767.57

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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.