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Finding the Fourth Proportional to 56,321.81, 77,724.35 and 30,480.37

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Solution

The fourth proportional to 56,321.81, 77,724.35 and 30,480.37 is: 42,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,321.81 : 77,724.35 = 30,480.37 : x
  2. Step 2: Convert to fraction form
    56,321.81/77,724.35 = 30,480.37/x
  3. Step 3: Cross multiply
    56,321.81x = 77,724.35 × 30,480.37
  4. Step 4: Simplify right side
    56,321.81x = 2,369,066,755.03
  5. Step 5: Solve for x
    x = 2,369,066,755.03/56,321.81
  6. Step 6: Final answer
    x = 42,063.04

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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.