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Finding the Fourth Proportional to 50,946, 70,309.68 and 28,286.40

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Solution

The fourth proportional to 50,946, 70,309.68 and 28,286.40 is: 39,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,946 : 70,309.68 = 28,286.40 : x
  2. Step 2: Convert to fraction form
    50,946/70,309.68 = 28,286.40/x
  3. Step 3: Cross multiply
    50,946x = 70,309.68 × 28,286.40
  4. Step 4: Simplify right side
    50,946x = 1,988,807,732.35
  5. Step 5: Solve for x
    x = 1,988,807,732.35/50,946
  6. Step 6: Final answer
    x = 39,037.56

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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.