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Finding the Fourth Proportional to 70,114.84, 105,172.43 and 27,998.35

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Solution

The fourth proportional to 70,114.84, 105,172.43 and 27,998.35 is: 41,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114.84 : 105,172.43 = 27,998.35 : x
  2. Step 2: Convert to fraction form
    70,114.84/105,172.43 = 27,998.35/x
  3. Step 3: Cross multiply
    70,114.84x = 105,172.43 × 27,998.35
  4. Step 4: Simplify right side
    70,114.84x = 2,944,654,102.57
  5. Step 5: Solve for x
    x = 2,944,654,102.57/70,114.84
  6. Step 6: Final answer
    x = 41,997.59

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1.5x scale

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.