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Finding the Fourth Proportional to 49,689.60, 74,532.80 and 16,411.20

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Solution

The fourth proportional to 49,689.60, 74,532.80 and 16,411.20 is: 24,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,689.60 : 74,532.80 = 16,411.20 : x
  2. Step 2: Convert to fraction form
    49,689.60/74,532.80 = 16,411.20/x
  3. Step 3: Cross multiply
    49,689.60x = 74,532.80 × 16,411.20
  4. Step 4: Simplify right side
    49,689.60x = 1,223,172,687.36
  5. Step 5: Solve for x
    x = 1,223,172,687.36/49,689.60
  6. Step 6: Final answer
    x = 24,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.