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Finding the Fourth Proportional to 72,773.07, 100,426.82 and 40,507

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Solution

The fourth proportional to 72,773.07, 100,426.82 and 40,507 is: 55,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773.07 : 100,426.82 = 40,507 : x
  2. Step 2: Convert to fraction form
    72,773.07/100,426.82 = 40,507/x
  3. Step 3: Cross multiply
    72,773.07x = 100,426.82 × 40,507
  4. Step 4: Simplify right side
    72,773.07x = 4,067,989,197.74
  5. Step 5: Solve for x
    x = 4,067,989,197.74/72,773.07
  6. Step 6: Final answer
    x = 55,899.65

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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.