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Finding the Fourth Proportional to 78,598, 108,476.22 and 50,363.84

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Solution

The fourth proportional to 78,598, 108,476.22 and 50,363.84 is: 69,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,598 : 108,476.22 = 50,363.84 : x
  2. Step 2: Convert to fraction form
    78,598/108,476.22 = 50,363.84/x
  3. Step 3: Cross multiply
    78,598x = 108,476.22 × 50,363.84
  4. Step 4: Simplify right side
    78,598x = 5,463,278,987.88
  5. Step 5: Solve for x
    x = 5,463,278,987.88/78,598
  6. Step 6: Final answer
    x = 69,509.13

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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.