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Finding the Fourth Proportional to 312,371.02, 468,602.33 and 99,067.80

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Solution

The fourth proportional to 312,371.02, 468,602.33 and 99,067.80 is: 148,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,371.02 : 468,602.33 = 99,067.80 : x
  2. Step 2: Convert to fraction form
    312,371.02/468,602.33 = 99,067.80/x
  3. Step 3: Cross multiply
    312,371.02x = 468,602.33 × 99,067.80
  4. Step 4: Simplify right side
    312,371.02x = 46,423,401,907.97
  5. Step 5: Solve for x
    x = 46,423,401,907.97/312,371.02
  6. Step 6: Final answer
    x = 148,616.23

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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.