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Finding the Fourth Proportional to 77,371.53, 106,763.16 and 47,145.84

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Solution

The fourth proportional to 77,371.53, 106,763.16 and 47,145.84 is: 65,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371.53 : 106,763.16 = 47,145.84 : x
  2. Step 2: Convert to fraction form
    77,371.53/106,763.16 = 47,145.84/x
  3. Step 3: Cross multiply
    77,371.53x = 106,763.16 × 47,145.84
  4. Step 4: Simplify right side
    77,371.53x = 5,033,438,859.25
  5. Step 5: Solve for x
    x = 5,033,438,859.25/77,371.53
  6. Step 6: Final answer
    x = 65,055.44

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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.