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Finding the Fourth Proportional to 71,798.94, 107,698.50 and 19,208.40

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Solution

The fourth proportional to 71,798.94, 107,698.50 and 19,208.40 is: 28,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798.94 : 107,698.50 = 19,208.40 : x
  2. Step 2: Convert to fraction form
    71,798.94/107,698.50 = 19,208.40/x
  3. Step 3: Cross multiply
    71,798.94x = 107,698.50 × 19,208.40
  4. Step 4: Simplify right side
    71,798.94x = 2,068,715,867.40
  5. Step 5: Solve for x
    x = 2,068,715,867.40/71,798.94
  6. Step 6: Final answer
    x = 28,812.62

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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.