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Finding the Fourth Proportional to 104,006.34, 143,447.12 and 89,689.86

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Solution

The fourth proportional to 104,006.34, 143,447.12 and 89,689.86 is: 123,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,006.34 : 143,447.12 = 89,689.86 : x
  2. Step 2: Convert to fraction form
    104,006.34/143,447.12 = 89,689.86/x
  3. Step 3: Cross multiply
    104,006.34x = 143,447.12 × 89,689.86
  4. Step 4: Simplify right side
    104,006.34x = 12,865,752,110.20
  5. Step 5: Solve for x
    x = 12,865,752,110.20/104,006.34
  6. Step 6: Final answer
    x = 123,701.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.