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Finding the Fourth Proportional to 70,091.42, 105,121.42 and 20,160.40

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Solution

The fourth proportional to 70,091.42, 105,121.42 and 20,160.40 is: 30,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,091.42 : 105,121.42 = 20,160.40 : x
  2. Step 2: Convert to fraction form
    70,091.42/105,121.42 = 20,160.40/x
  3. Step 3: Cross multiply
    70,091.42x = 105,121.42 × 20,160.40
  4. Step 4: Simplify right side
    70,091.42x = 2,119,289,875.77
  5. Step 5: Solve for x
    x = 2,119,289,875.77/70,091.42
  6. Step 6: Final answer
    x = 30,236.08

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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.