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Finding the Fourth Proportional to 149,477.52, 206,280.52 and 82,411.92

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Solution

The fourth proportional to 149,477.52, 206,280.52 and 82,411.92 is: 113,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,477.52 : 206,280.52 = 82,411.92 : x
  2. Step 2: Convert to fraction form
    149,477.52/206,280.52 = 82,411.92/x
  3. Step 3: Cross multiply
    149,477.52x = 206,280.52 × 82,411.92
  4. Step 4: Simplify right side
    149,477.52x = 16,999,973,711.80
  5. Step 5: Solve for x
    x = 16,999,973,711.80/149,477.52
  6. Step 6: Final answer
    x = 113,729.30

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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.