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Finding the Fourth Proportional to 50,970, 70,338.60 and 28,614

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Solution

The fourth proportional to 50,970, 70,338.60 and 28,614 is: 39,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,970 : 70,338.60 = 28,614 : x
  2. Step 2: Convert to fraction form
    50,970/70,338.60 = 28,614/x
  3. Step 3: Cross multiply
    50,970x = 70,338.60 × 28,614
  4. Step 4: Simplify right side
    50,970x = 2,012,668,700.40
  5. Step 5: Solve for x
    x = 2,012,668,700.40/50,970
  6. Step 6: Final answer
    x = 39,487.32

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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.