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Finding the Fourth Proportional to 77,672.85, 107,187.50 and 43,681.32

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Solution

The fourth proportional to 77,672.85, 107,187.50 and 43,681.32 is: 60,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.85 : 107,187.50 = 43,681.32 : x
  2. Step 2: Convert to fraction form
    77,672.85/107,187.50 = 43,681.32/x
  3. Step 3: Cross multiply
    77,672.85x = 107,187.50 × 43,681.32
  4. Step 4: Simplify right side
    77,672.85x = 4,682,091,269.09
  5. Step 5: Solve for x
    x = 4,682,091,269.09/77,672.85
  6. Step 6: Final answer
    x = 60,279.64

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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.