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Finding the Fourth Proportional to 50,490, 69,677.64 and 28,135.44

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Solution

The fourth proportional to 50,490, 69,677.64 and 28,135.44 is: 38,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490 : 69,677.64 = 28,135.44 : x
  2. Step 2: Convert to fraction form
    50,490/69,677.64 = 28,135.44/x
  3. Step 3: Cross multiply
    50,490x = 69,677.64 × 28,135.44
  4. Step 4: Simplify right side
    50,490x = 1,960,411,059.56
  5. Step 5: Solve for x
    x = 1,960,411,059.56/50,490
  6. Step 6: Final answer
    x = 38,827.71

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1.5x scale

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.