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Finding the Fourth Proportional to 210,051.20, 315,076.80 and 76,935.80

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Solution

The fourth proportional to 210,051.20, 315,076.80 and 76,935.80 is: 115,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051.20 : 315,076.80 = 76,935.80 : x
  2. Step 2: Convert to fraction form
    210,051.20/315,076.80 = 76,935.80/x
  3. Step 3: Cross multiply
    210,051.20x = 315,076.80 × 76,935.80
  4. Step 4: Simplify right side
    210,051.20x = 24,240,685,669.44
  5. Step 5: Solve for x
    x = 24,240,685,669.44/210,051.20
  6. Step 6: Final answer
    x = 115,403.70

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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.