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Finding the Fourth Proportional to 70,062, 105,091.28 and 20,142.24

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Solution

The fourth proportional to 70,062, 105,091.28 and 20,142.24 is: 30,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,062 : 105,091.28 = 20,142.24 : x
  2. Step 2: Convert to fraction form
    70,062/105,091.28 = 20,142.24/x
  3. Step 3: Cross multiply
    70,062x = 105,091.28 × 20,142.24
  4. Step 4: Simplify right side
    70,062x = 2,116,773,783.67
  5. Step 5: Solve for x
    x = 2,116,773,783.67/70,062
  6. Step 6: Final answer
    x = 30,212.87

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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.