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Finding the Fourth Proportional to 55,242, 82,875.96 and 18,306

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Solution

The fourth proportional to 55,242, 82,875.96 and 18,306 is: 27,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242 : 82,875.96 = 18,306 : x
  2. Step 2: Convert to fraction form
    55,242/82,875.96 = 18,306/x
  3. Step 3: Cross multiply
    55,242x = 82,875.96 × 18,306
  4. Step 4: Simplify right side
    55,242x = 1,517,127,323.76
  5. Step 5: Solve for x
    x = 1,517,127,323.76/55,242
  6. Step 6: Final answer
    x = 27,463.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.