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Finding the Fourth Proportional to 70,143.74, 105,146.34 and 27,998.42

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Solution

The fourth proportional to 70,143.74, 105,146.34 and 27,998.42 is: 41,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,143.74 : 105,146.34 = 27,998.42 : x
  2. Step 2: Convert to fraction form
    70,143.74/105,146.34 = 27,998.42/x
  3. Step 3: Cross multiply
    70,143.74x = 105,146.34 × 27,998.42
  4. Step 4: Simplify right side
    70,143.74x = 2,943,931,388.78
  5. Step 5: Solve for x
    x = 2,943,931,388.78/70,143.74
  6. Step 6: Final answer
    x = 41,969.98

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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.