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Finding the Fourth Proportional to 55,254, 82,881.24 and 18,318

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Solution

The fourth proportional to 55,254, 82,881.24 and 18,318 is: 27,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254 : 82,881.24 = 18,318 : x
  2. Step 2: Convert to fraction form
    55,254/82,881.24 = 18,318/x
  3. Step 3: Cross multiply
    55,254x = 82,881.24 × 18,318
  4. Step 4: Simplify right side
    55,254x = 1,518,218,554.32
  5. Step 5: Solve for x
    x = 1,518,218,554.32/55,254
  6. Step 6: Final answer
    x = 27,477.08

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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.