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Finding the Fourth Proportional to 70,502.42, 105,734.19 and 30,534.86

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Solution

The fourth proportional to 70,502.42, 105,734.19 and 30,534.86 is: 45,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.42 : 105,734.19 = 30,534.86 : x
  2. Step 2: Convert to fraction form
    70,502.42/105,734.19 = 30,534.86/x
  3. Step 3: Cross multiply
    70,502.42x = 105,734.19 × 30,534.86
  4. Step 4: Simplify right side
    70,502.42x = 3,228,578,688.86
  5. Step 5: Solve for x
    x = 3,228,578,688.86/70,502.42
  6. Step 6: Final answer
    x = 45,793.87

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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.