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Finding the Fourth Proportional to 55,611.76, 83,418 and 18,675.76

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Solution

The fourth proportional to 55,611.76, 83,418 and 18,675.76 is: 28,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,611.76 : 83,418 = 18,675.76 : x
  2. Step 2: Convert to fraction form
    55,611.76/83,418 = 18,675.76/x
  3. Step 3: Cross multiply
    55,611.76x = 83,418 × 18,675.76
  4. Step 4: Simplify right side
    55,611.76x = 1,557,894,547.68
  5. Step 5: Solve for x
    x = 1,557,894,547.68/55,611.76
  6. Step 6: Final answer
    x = 28,013.76

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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.