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Finding the Fourth Proportional to 70,505.23, 105,785.54 and 31,034.67

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Solution

The fourth proportional to 70,505.23, 105,785.54 and 31,034.67 is: 46,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.23 : 105,785.54 = 31,034.67 : x
  2. Step 2: Convert to fraction form
    70,505.23/105,785.54 = 31,034.67/x
  3. Step 3: Cross multiply
    70,505.23x = 105,785.54 × 31,034.67
  4. Step 4: Simplify right side
    70,505.23x = 3,283,019,433.96
  5. Step 5: Solve for x
    x = 3,283,019,433.96/70,505.23
  6. Step 6: Final answer
    x = 46,564.20

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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.