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Finding the Fourth Proportional to 50,737, 70,017.06 and 28,381

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Solution

The fourth proportional to 50,737, 70,017.06 and 28,381 is: 39,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,737 : 70,017.06 = 28,381 : x
  2. Step 2: Convert to fraction form
    50,737/70,017.06 = 28,381/x
  3. Step 3: Cross multiply
    50,737x = 70,017.06 × 28,381
  4. Step 4: Simplify right side
    50,737x = 1,987,154,179.86
  5. Step 5: Solve for x
    x = 1,987,154,179.86/50,737
  6. Step 6: Final answer
    x = 39,165.78

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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.