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Finding the Fourth Proportional to 77,131, 106,440.78 and 41,803

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Solution

The fourth proportional to 77,131, 106,440.78 and 41,803 is: 57,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,131 : 106,440.78 = 41,803 : x
  2. Step 2: Convert to fraction form
    77,131/106,440.78 = 41,803/x
  3. Step 3: Cross multiply
    77,131x = 106,440.78 × 41,803
  4. Step 4: Simplify right side
    77,131x = 4,449,543,926.34
  5. Step 5: Solve for x
    x = 4,449,543,926.34/77,131
  6. Step 6: Final answer
    x = 57,688.14

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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.