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Finding the Fourth Proportional to 78,065.64, 107,674.92 and 47,858.04

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Solution

The fourth proportional to 78,065.64, 107,674.92 and 47,858.04 is: 66,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.64 : 107,674.92 = 47,858.04 : x
  2. Step 2: Convert to fraction form
    78,065.64/107,674.92 = 47,858.04/x
  3. Step 3: Cross multiply
    78,065.64x = 107,674.92 × 47,858.04
  4. Step 4: Simplify right side
    78,065.64x = 5,153,110,628.36
  5. Step 5: Solve for x
    x = 5,153,110,628.36/78,065.64
  6. Step 6: Final answer
    x = 66,009.97

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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.