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Finding the Fourth Proportional to 51,235, 76,810.78 and 34,385.38

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Solution

The fourth proportional to 51,235, 76,810.78 and 34,385.38 is: 51,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235 : 76,810.78 = 34,385.38 : x
  2. Step 2: Convert to fraction form
    51,235/76,810.78 = 34,385.38/x
  3. Step 3: Cross multiply
    51,235x = 76,810.78 × 34,385.38
  4. Step 4: Simplify right side
    51,235x = 2,641,167,858.40
  5. Step 5: Solve for x
    x = 2,641,167,858.40/51,235
  6. Step 6: Final answer
    x = 51,550.07

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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.