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Finding the Fourth Proportional to 310,072.20, 465,108.30 and 99,731.40

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Solution

The fourth proportional to 310,072.20, 465,108.30 and 99,731.40 is: 149,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,072.20 : 465,108.30 = 99,731.40 : x
  2. Step 2: Convert to fraction form
    310,072.20/465,108.30 = 99,731.40/x
  3. Step 3: Cross multiply
    310,072.20x = 465,108.30 × 99,731.40
  4. Step 4: Simplify right side
    310,072.20x = 46,385,901,910.62
  5. Step 5: Solve for x
    x = 46,385,901,910.62/310,072.20
  6. Step 6: Final answer
    x = 149,597.10

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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.