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Finding the Fourth Proportional to 210,395.85, 315,634.93 and 77,277.11

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Solution

The fourth proportional to 210,395.85, 315,634.93 and 77,277.11 is: 115,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,395.85 : 315,634.93 = 77,277.11 : x
  2. Step 2: Convert to fraction form
    210,395.85/315,634.93 = 77,277.11/x
  3. Step 3: Cross multiply
    210,395.85x = 315,634.93 × 77,277.11
  4. Step 4: Simplify right side
    210,395.85x = 24,391,354,609.56
  5. Step 5: Solve for x
    x = 24,391,354,609.56/210,395.85
  6. Step 6: Final answer
    x = 115,930.78

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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.