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Finding the Fourth Proportional to 345,743, 518,702.02 and 96,425

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Solution

The fourth proportional to 345,743, 518,702.02 and 96,425 is: 144,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,743 : 518,702.02 = 96,425 : x
  2. Step 2: Convert to fraction form
    345,743/518,702.02 = 96,425/x
  3. Step 3: Cross multiply
    345,743x = 518,702.02 × 96,425
  4. Step 4: Simplify right side
    345,743x = 50,015,842,278.50
  5. Step 5: Solve for x
    x = 50,015,842,278.50/345,743
  6. Step 6: Final answer
    x = 144,661.91

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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.