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Finding the Fourth Proportional to 79,219, 109,305.16 and 46,963.80

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Solution

The fourth proportional to 79,219, 109,305.16 and 46,963.80 is: 64,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,219 : 109,305.16 = 46,963.80 : x
  2. Step 2: Convert to fraction form
    79,219/109,305.16 = 46,963.80/x
  3. Step 3: Cross multiply
    79,219x = 109,305.16 × 46,963.80
  4. Step 4: Simplify right side
    79,219x = 5,133,385,673.21
  5. Step 5: Solve for x
    x = 5,133,385,673.21/79,219
  6. Step 6: Final answer
    x = 64,799.93

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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.