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Finding the Fourth Proportional to 72,580.96, 100,156.17 and 40,743.82

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Solution

The fourth proportional to 72,580.96, 100,156.17 and 40,743.82 is: 56,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,580.96 : 100,156.17 = 40,743.82 : x
  2. Step 2: Convert to fraction form
    72,580.96/100,156.17 = 40,743.82/x
  3. Step 3: Cross multiply
    72,580.96x = 100,156.17 × 40,743.82
  4. Step 4: Simplify right side
    72,580.96x = 4,080,744,962.37
  5. Step 5: Solve for x
    x = 4,080,744,962.37/72,580.96
  6. Step 6: Final answer
    x = 56,223.35

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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.