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Finding the Fourth Proportional to 213,689.31, 320,415.59 and 87,418.19

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Solution

The fourth proportional to 213,689.31, 320,415.59 and 87,418.19 is: 131,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,689.31 : 320,415.59 = 87,418.19 : x
  2. Step 2: Convert to fraction form
    213,689.31/320,415.59 = 87,418.19/x
  3. Step 3: Cross multiply
    213,689.31x = 320,415.59 × 87,418.19
  4. Step 4: Simplify right side
    213,689.31x = 28,010,148,886.41
  5. Step 5: Solve for x
    x = 28,010,148,886.41/213,689.31
  6. Step 6: Final answer
    x = 131,078.85

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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.