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Finding the Fourth Proportional to 42,886, 64,291.80 and 16,609.84

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Solution

The fourth proportional to 42,886, 64,291.80 and 16,609.84 is: 24,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,886 : 64,291.80 = 16,609.84 : x
  2. Step 2: Convert to fraction form
    42,886/64,291.80 = 16,609.84/x
  3. Step 3: Cross multiply
    42,886x = 64,291.80 × 16,609.84
  4. Step 4: Simplify right side
    42,886x = 1,067,876,511.31
  5. Step 5: Solve for x
    x = 1,067,876,511.31/42,886
  6. Step 6: Final answer
    x = 24,900.35

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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.