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Finding the Fourth Proportional to 72,806.94, 100,476.81 and 40,977.90

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Solution

The fourth proportional to 72,806.94, 100,476.81 and 40,977.90 is: 56,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.94 : 100,476.81 = 40,977.90 : x
  2. Step 2: Convert to fraction form
    72,806.94/100,476.81 = 40,977.90/x
  3. Step 3: Cross multiply
    72,806.94x = 100,476.81 × 40,977.90
  4. Step 4: Simplify right side
    72,806.94x = 4,117,328,672.50
  5. Step 5: Solve for x
    x = 4,117,328,672.50/72,806.94
  6. Step 6: Final answer
    x = 56,551.32

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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.