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Finding the Fourth Proportional to 86,006.34, 118,689.04 and 47,765.98

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Solution

The fourth proportional to 86,006.34, 118,689.04 and 47,765.98 is: 65,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006.34 : 118,689.04 = 47,765.98 : x
  2. Step 2: Convert to fraction form
    86,006.34/118,689.04 = 47,765.98/x
  3. Step 3: Cross multiply
    86,006.34x = 118,689.04 × 47,765.98
  4. Step 4: Simplify right side
    86,006.34x = 5,669,298,310.86
  5. Step 5: Solve for x
    x = 5,669,298,310.86/86,006.34
  6. Step 6: Final answer
    x = 65,917.21

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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.