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Finding the Fourth Proportional to 103,543.68, 155,309.94 and 33,423

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Solution

The fourth proportional to 103,543.68, 155,309.94 and 33,423 is: 50,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.68 : 155,309.94 = 33,423 : x
  2. Step 2: Convert to fraction form
    103,543.68/155,309.94 = 33,423/x
  3. Step 3: Cross multiply
    103,543.68x = 155,309.94 × 33,423
  4. Step 4: Simplify right side
    103,543.68x = 5,190,924,124.62
  5. Step 5: Solve for x
    x = 5,190,924,124.62/103,543.68
  6. Step 6: Final answer
    x = 50,132.70

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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.