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Finding the Fourth Proportional to 345,985.66, 519,064.89 and 96,665.50

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Solution

The fourth proportional to 345,985.66, 519,064.89 and 96,665.50 is: 145,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,985.66 : 519,064.89 = 96,665.50 : x
  2. Step 2: Convert to fraction form
    345,985.66/519,064.89 = 96,665.50/x
  3. Step 3: Cross multiply
    345,985.66x = 519,064.89 × 96,665.50
  4. Step 4: Simplify right side
    345,985.66x = 50,175,667,124.30
  5. Step 5: Solve for x
    x = 50,175,667,124.30/345,985.66
  6. Step 6: Final answer
    x = 145,022.39

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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.