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Finding the Fourth Proportional to 54,303.42, 74,937.49 and 31,641

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Solution

The fourth proportional to 54,303.42, 74,937.49 and 31,641 is: 43,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303.42 : 74,937.49 = 31,641 : x
  2. Step 2: Convert to fraction form
    54,303.42/74,937.49 = 31,641/x
  3. Step 3: Cross multiply
    54,303.42x = 74,937.49 × 31,641
  4. Step 4: Simplify right side
    54,303.42x = 2,371,097,121.09
  5. Step 5: Solve for x
    x = 2,371,097,121.09/54,303.42
  6. Step 6: Final answer
    x = 43,663.86

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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.