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Finding the Fourth Proportional to 72,045.78, 99,412.92 and 40,213.98

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Solution

The fourth proportional to 72,045.78, 99,412.92 and 40,213.98 is: 55,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,045.78 : 99,412.92 = 40,213.98 : x
  2. Step 2: Convert to fraction form
    72,045.78/99,412.92 = 40,213.98/x
  3. Step 3: Cross multiply
    72,045.78x = 99,412.92 × 40,213.98
  4. Step 4: Simplify right side
    72,045.78x = 3,997,789,176.62
  5. Step 5: Solve for x
    x = 3,997,789,176.62/72,045.78
  6. Step 6: Final answer
    x = 55,489.57

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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.