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Finding the Fourth Proportional to 55,938.90, 83,890.56 and 18,492

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Solution

The fourth proportional to 55,938.90, 83,890.56 and 18,492 is: 27,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,938.90 : 83,890.56 = 18,492 : x
  2. Step 2: Convert to fraction form
    55,938.90/83,890.56 = 18,492/x
  3. Step 3: Cross multiply
    55,938.90x = 83,890.56 × 18,492
  4. Step 4: Simplify right side
    55,938.90x = 1,551,304,235.52
  5. Step 5: Solve for x
    x = 1,551,304,235.52/55,938.90
  6. Step 6: Final answer
    x = 27,732.12

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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.