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Finding the Fourth Proportional to 53,881.84, 80,824.08 and 18,343.09

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Solution

The fourth proportional to 53,881.84, 80,824.08 and 18,343.09 is: 27,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.84 : 80,824.08 = 18,343.09 : x
  2. Step 2: Convert to fraction form
    53,881.84/80,824.08 = 18,343.09/x
  3. Step 3: Cross multiply
    53,881.84x = 80,824.08 × 18,343.09
  4. Step 4: Simplify right side
    53,881.84x = 1,482,563,373.61
  5. Step 5: Solve for x
    x = 1,482,563,373.61/53,881.84
  6. Step 6: Final answer
    x = 27,515.08

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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.