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Finding the Fourth Proportional to 42,498, 63,694.70 and 18,779.99

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Solution

The fourth proportional to 42,498, 63,694.70 and 18,779.99 is: 28,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,498 : 63,694.70 = 18,779.99 : x
  2. Step 2: Convert to fraction form
    42,498/63,694.70 = 18,779.99/x
  3. Step 3: Cross multiply
    42,498x = 63,694.70 × 18,779.99
  4. Step 4: Simplify right side
    42,498x = 1,196,185,829.05
  5. Step 5: Solve for x
    x = 1,196,185,829.05/42,498
  6. Step 6: Final answer
    x = 28,146.87

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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.