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Finding the Fourth Proportional to 74,441, 102,776.10 and 51,771.80

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Solution

The fourth proportional to 74,441, 102,776.10 and 51,771.80 is: 71,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,441 : 102,776.10 = 51,771.80 : x
  2. Step 2: Convert to fraction form
    74,441/102,776.10 = 51,771.80/x
  3. Step 3: Cross multiply
    74,441x = 102,776.10 × 51,771.80
  4. Step 4: Simplify right side
    74,441x = 5,320,903,693.98
  5. Step 5: Solve for x
    x = 5,320,903,693.98/74,441
  6. Step 6: Final answer
    x = 71,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.