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Finding the Fourth Proportional to 50,727, 70,000.69 and 27,756.32

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Solution

The fourth proportional to 50,727, 70,000.69 and 27,756.32 is: 38,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727 : 70,000.69 = 27,756.32 : x
  2. Step 2: Convert to fraction form
    50,727/70,000.69 = 27,756.32/x
  3. Step 3: Cross multiply
    50,727x = 70,000.69 × 27,756.32
  4. Step 4: Simplify right side
    50,727x = 1,942,961,551.86
  5. Step 5: Solve for x
    x = 1,942,961,551.86/50,727
  6. Step 6: Final answer
    x = 38,302.32

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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.