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Finding the Fourth Proportional to 210,474.10, 315,514.31 and 77,318.60

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Solution

The fourth proportional to 210,474.10, 315,514.31 and 77,318.60 is: 115,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,474.10 : 315,514.31 = 77,318.60 : x
  2. Step 2: Convert to fraction form
    210,474.10/315,514.31 = 77,318.60/x
  3. Step 3: Cross multiply
    210,474.10x = 315,514.31 × 77,318.60
  4. Step 4: Simplify right side
    210,474.10x = 24,395,124,729.17
  5. Step 5: Solve for x
    x = 24,395,124,729.17/210,474.10
  6. Step 6: Final answer
    x = 115,905.59

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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.