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Finding the Fourth Proportional to 50,966, 70,333.12 and 28,617.20

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Solution

The fourth proportional to 50,966, 70,333.12 and 28,617.20 is: 39,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,966 : 70,333.12 = 28,617.20 : x
  2. Step 2: Convert to fraction form
    50,966/70,333.12 = 28,617.20/x
  3. Step 3: Cross multiply
    50,966x = 70,333.12 × 28,617.20
  4. Step 4: Simplify right side
    50,966x = 2,012,736,961.66
  5. Step 5: Solve for x
    x = 2,012,736,961.66/50,966
  6. Step 6: Final answer
    x = 39,491.76

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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.