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Finding the Fourth Proportional to 210,484.56, 315,761.72 and 70,286.16

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Solution

The fourth proportional to 210,484.56, 315,761.72 and 70,286.16 is: 105,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,484.56 : 315,761.72 = 70,286.16 : x
  2. Step 2: Convert to fraction form
    210,484.56/315,761.72 = 70,286.16/x
  3. Step 3: Cross multiply
    210,484.56x = 315,761.72 × 70,286.16
  4. Step 4: Simplify right side
    210,484.56x = 22,193,678,773.80
  5. Step 5: Solve for x
    x = 22,193,678,773.80/210,484.56
  6. Step 6: Final answer
    x = 105,440.89

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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.