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Finding the Fourth Proportional to 70,114.92, 105,146.43 and 20,178.15

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Solution

The fourth proportional to 70,114.92, 105,146.43 and 20,178.15 is: 30,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114.92 : 105,146.43 = 20,178.15 : x
  2. Step 2: Convert to fraction form
    70,114.92/105,146.43 = 20,178.15/x
  3. Step 3: Cross multiply
    70,114.92x = 105,146.43 × 20,178.15
  4. Step 4: Simplify right side
    70,114.92x = 2,121,660,530.72
  5. Step 5: Solve for x
    x = 2,121,660,530.72/70,114.92
  6. Step 6: Final answer
    x = 30,259.76

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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.