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Finding the Fourth Proportional to 50,710, 69,983.04 and 28,354

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Solution

The fourth proportional to 50,710, 69,983.04 and 28,354 is: 39,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,710 : 69,983.04 = 28,354 : x
  2. Step 2: Convert to fraction form
    50,710/69,983.04 = 28,354/x
  3. Step 3: Cross multiply
    50,710x = 69,983.04 × 28,354
  4. Step 4: Simplify right side
    50,710x = 1,984,299,116.16
  5. Step 5: Solve for x
    x = 1,984,299,116.16/50,710
  6. Step 6: Final answer
    x = 39,130.33

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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.