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Finding the Fourth Proportional to 47,400.68, 71,100.66 and 19,698.68

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Solution

The fourth proportional to 47,400.68, 71,100.66 and 19,698.68 is: 29,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400.68 : 71,100.66 = 19,698.68 : x
  2. Step 2: Convert to fraction form
    47,400.68/71,100.66 = 19,698.68/x
  3. Step 3: Cross multiply
    47,400.68x = 71,100.66 × 19,698.68
  4. Step 4: Simplify right side
    47,400.68x = 1,400,589,149.13
  5. Step 5: Solve for x
    x = 1,400,589,149.13/47,400.68
  6. Step 6: Final answer
    x = 29,547.87

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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.