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Finding the Fourth Proportional to 77,370.76, 115,900.62 and 40,357

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Solution

The fourth proportional to 77,370.76, 115,900.62 and 40,357 is: 60,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,370.76 : 115,900.62 = 40,357 : x
  2. Step 2: Convert to fraction form
    77,370.76/115,900.62 = 40,357/x
  3. Step 3: Cross multiply
    77,370.76x = 115,900.62 × 40,357
  4. Step 4: Simplify right side
    77,370.76x = 4,677,401,321.34
  5. Step 5: Solve for x
    x = 4,677,401,321.34/77,370.76
  6. Step 6: Final answer
    x = 60,454.38

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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.