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Finding the Fourth Proportional to 54,321.57, 74,965.95 and 30,448.08

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Solution

The fourth proportional to 54,321.57, 74,965.95 and 30,448.08 is: 42,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321.57 : 74,965.95 = 30,448.08 : x
  2. Step 2: Convert to fraction form
    54,321.57/74,965.95 = 30,448.08/x
  3. Step 3: Cross multiply
    54,321.57x = 74,965.95 × 30,448.08
  4. Step 4: Simplify right side
    54,321.57x = 2,282,569,242.88
  5. Step 5: Solve for x
    x = 2,282,569,242.88/54,321.57
  6. Step 6: Final answer
    x = 42,019.57

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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.