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Finding the Fourth Proportional to 78,359.40, 108,182.12 and 47,744.04

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Solution

The fourth proportional to 78,359.40, 108,182.12 and 47,744.04 is: 65,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,359.40 : 108,182.12 = 47,744.04 : x
  2. Step 2: Convert to fraction form
    78,359.40/108,182.12 = 47,744.04/x
  3. Step 3: Cross multiply
    78,359.40x = 108,182.12 × 47,744.04
  4. Step 4: Simplify right side
    78,359.40x = 5,165,051,464.56
  5. Step 5: Solve for x
    x = 5,165,051,464.56/78,359.40
  6. Step 6: Final answer
    x = 65,914.89

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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.