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Finding the Fourth Proportional to 50,784.46, 70,082.36 and 28,428.46

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Solution

The fourth proportional to 50,784.46, 70,082.36 and 28,428.46 is: 39,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.46 : 70,082.36 = 28,428.46 : x
  2. Step 2: Convert to fraction form
    50,784.46/70,082.36 = 28,428.46/x
  3. Step 3: Cross multiply
    50,784.46x = 70,082.36 × 28,428.46
  4. Step 4: Simplify right side
    50,784.46x = 1,992,333,567.97
  5. Step 5: Solve for x
    x = 1,992,333,567.97/50,784.46
  6. Step 6: Final answer
    x = 39,231.17

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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.