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Finding the Fourth Proportional to 72,344.89, 99,836.06 and 40,513.80

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Solution

The fourth proportional to 72,344.89, 99,836.06 and 40,513.80 is: 55,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,344.89 : 99,836.06 = 40,513.80 : x
  2. Step 2: Convert to fraction form
    72,344.89/99,836.06 = 40,513.80/x
  3. Step 3: Cross multiply
    72,344.89x = 99,836.06 × 40,513.80
  4. Step 4: Simplify right side
    72,344.89x = 4,044,738,167.63
  5. Step 5: Solve for x
    x = 4,044,738,167.63/72,344.89
  6. Step 6: Final answer
    x = 55,909.11

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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.