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Finding the Fourth Proportional to 345,475, 518,212.50 and 96,163.48

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Solution

The fourth proportional to 345,475, 518,212.50 and 96,163.48 is: 144,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,475 : 518,212.50 = 96,163.48 : x
  2. Step 2: Convert to fraction form
    345,475/518,212.50 = 96,163.48/x
  3. Step 3: Cross multiply
    345,475x = 518,212.50 × 96,163.48
  4. Step 4: Simplify right side
    345,475x = 49,833,117,379.50
  5. Step 5: Solve for x
    x = 49,833,117,379.50/345,475
  6. Step 6: Final answer
    x = 144,245.22

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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.