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Finding the Fourth Proportional to 72,931.66, 100,645.09 and 40,665.90

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Solution

The fourth proportional to 72,931.66, 100,645.09 and 40,665.90 is: 56,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,931.66 : 100,645.09 = 40,665.90 : x
  2. Step 2: Convert to fraction form
    72,931.66/100,645.09 = 40,665.90/x
  3. Step 3: Cross multiply
    72,931.66x = 100,645.09 × 40,665.90
  4. Step 4: Simplify right side
    72,931.66x = 4,092,823,165.43
  5. Step 5: Solve for x
    x = 4,092,823,165.43/72,931.66
  6. Step 6: Final answer
    x = 56,118.61

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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.