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Finding the Fourth Proportional to 50,980, 70,358.88 and 28,624

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Solution

The fourth proportional to 50,980, 70,358.88 and 28,624 is: 39,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,980 : 70,358.88 = 28,624 : x
  2. Step 2: Convert to fraction form
    50,980/70,358.88 = 28,624/x
  3. Step 3: Cross multiply
    50,980x = 70,358.88 × 28,624
  4. Step 4: Simplify right side
    50,980x = 2,013,952,581.12
  5. Step 5: Solve for x
    x = 2,013,952,581.12/50,980
  6. Step 6: Final answer
    x = 39,504.76

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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.