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Finding the Fourth Proportional to 77,145.40, 115,593.90 and 43,766.20

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Solution

The fourth proportional to 77,145.40, 115,593.90 and 43,766.20 is: 65,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,145.40 : 115,593.90 = 43,766.20 : x
  2. Step 2: Convert to fraction form
    77,145.40/115,593.90 = 43,766.20/x
  3. Step 3: Cross multiply
    77,145.40x = 115,593.90 × 43,766.20
  4. Step 4: Simplify right side
    77,145.40x = 5,059,105,746.18
  5. Step 5: Solve for x
    x = 5,059,105,746.18/77,145.40
  6. Step 6: Final answer
    x = 65,578.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.