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Finding the Fourth Proportional to 72,668.35, 100,281.42 and 40,842.64

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Solution

The fourth proportional to 72,668.35, 100,281.42 and 40,842.64 is: 56,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,668.35 : 100,281.42 = 40,842.64 : x
  2. Step 2: Convert to fraction form
    72,668.35/100,281.42 = 40,842.64/x
  3. Step 3: Cross multiply
    72,668.35x = 100,281.42 × 40,842.64
  4. Step 4: Simplify right side
    72,668.35x = 4,095,757,935.75
  5. Step 5: Solve for x
    x = 4,095,757,935.75/72,668.35
  6. Step 6: Final answer
    x = 56,362.34

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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.