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Finding the Fourth Proportional to 76,771.80, 105,943.68 and 43,237.80

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Solution

The fourth proportional to 76,771.80, 105,943.68 and 43,237.80 is: 59,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.80 : 105,943.68 = 43,237.80 : x
  2. Step 2: Convert to fraction form
    76,771.80/105,943.68 = 43,237.80/x
  3. Step 3: Cross multiply
    76,771.80x = 105,943.68 × 43,237.80
  4. Step 4: Simplify right side
    76,771.80x = 4,580,771,647.10
  5. Step 5: Solve for x
    x = 4,580,771,647.10/76,771.80
  6. Step 6: Final answer
    x = 59,667.37

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1.5x scale

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.