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Finding the Fourth Proportional to 81,354.85, 112,266.40 and 47,364.31

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Solution

The fourth proportional to 81,354.85, 112,266.40 and 47,364.31 is: 65,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,354.85 : 112,266.40 = 47,364.31 : x
  2. Step 2: Convert to fraction form
    81,354.85/112,266.40 = 47,364.31/x
  3. Step 3: Cross multiply
    81,354.85x = 112,266.40 × 47,364.31
  4. Step 4: Simplify right side
    81,354.85x = 5,317,420,572.18
  5. Step 5: Solve for x
    x = 5,317,420,572.18/81,354.85
  6. Step 6: Final answer
    x = 65,360.83

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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.