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Finding the Fourth Proportional to 46,808, 70,214.88 and 13,976

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Solution

The fourth proportional to 46,808, 70,214.88 and 13,976 is: 20,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808 : 70,214.88 = 13,976 : x
  2. Step 2: Convert to fraction form
    46,808/70,214.88 = 13,976/x
  3. Step 3: Cross multiply
    46,808x = 70,214.88 × 13,976
  4. Step 4: Simplify right side
    46,808x = 981,323,162.88
  5. Step 5: Solve for x
    x = 981,323,162.88/46,808
  6. Step 6: Final answer
    x = 20,964.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.