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Finding the Fourth Proportional to 53,991.84, 74,510.31 and 30,118

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Solution

The fourth proportional to 53,991.84, 74,510.31 and 30,118 is: 41,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,991.84 : 74,510.31 = 30,118 : x
  2. Step 2: Convert to fraction form
    53,991.84/74,510.31 = 30,118/x
  3. Step 3: Cross multiply
    53,991.84x = 74,510.31 × 30,118
  4. Step 4: Simplify right side
    53,991.84x = 2,244,101,516.58
  5. Step 5: Solve for x
    x = 2,244,101,516.58/53,991.84
  6. Step 6: Final answer
    x = 41,563.72

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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.