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Finding the Fourth Proportional to 56,330, 77,735.47 and 35,109.25

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Solution

The fourth proportional to 56,330, 77,735.47 and 35,109.25 is: 48,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,330 : 77,735.47 = 35,109.25 : x
  2. Step 2: Convert to fraction form
    56,330/77,735.47 = 35,109.25/x
  3. Step 3: Cross multiply
    56,330x = 77,735.47 × 35,109.25
  4. Step 4: Simplify right side
    56,330x = 2,729,234,050.10
  5. Step 5: Solve for x
    x = 2,729,234,050.10/56,330
  6. Step 6: Final answer
    x = 48,450.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.