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Finding the Fourth Proportional to 71,411.69, 98,551.36 and 40,787.46

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Solution

The fourth proportional to 71,411.69, 98,551.36 and 40,787.46 is: 56,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,411.69 : 98,551.36 = 40,787.46 : x
  2. Step 2: Convert to fraction form
    71,411.69/98,551.36 = 40,787.46/x
  3. Step 3: Cross multiply
    71,411.69x = 98,551.36 × 40,787.46
  4. Step 4: Simplify right side
    71,411.69x = 4,019,659,704.93
  5. Step 5: Solve for x
    x = 4,019,659,704.93/71,411.69
  6. Step 6: Final answer
    x = 56,288.54

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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.