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Finding the Fourth Proportional to 70,077.96, 105,115.32 and 20,158.20

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Solution

The fourth proportional to 70,077.96, 105,115.32 and 20,158.20 is: 30,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077.96 : 105,115.32 = 20,158.20 : x
  2. Step 2: Convert to fraction form
    70,077.96/105,115.32 = 20,158.20/x
  3. Step 3: Cross multiply
    70,077.96x = 105,115.32 × 20,158.20
  4. Step 4: Simplify right side
    70,077.96x = 2,118,935,643.62
  5. Step 5: Solve for x
    x = 2,118,935,643.62/70,077.96
  6. Step 6: Final answer
    x = 30,236.83

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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.