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Finding the Fourth Proportional to 72,670.49, 100,284.64 and 40,839.31

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Solution

The fourth proportional to 72,670.49, 100,284.64 and 40,839.31 is: 56,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,670.49 : 100,284.64 = 40,839.31 : x
  2. Step 2: Convert to fraction form
    72,670.49/100,284.64 = 40,839.31/x
  3. Step 3: Cross multiply
    72,670.49x = 100,284.64 × 40,839.31
  4. Step 4: Simplify right side
    72,670.49x = 4,095,555,148.39
  5. Step 5: Solve for x
    x = 4,095,555,148.39/72,670.49
  6. Step 6: Final answer
    x = 56,357.89

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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.