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Finding the Fourth Proportional to 78,704.64, 108,604.80 and 45,164.16

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Solution

The fourth proportional to 78,704.64, 108,604.80 and 45,164.16 is: 62,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,704.64 : 108,604.80 = 45,164.16 : x
  2. Step 2: Convert to fraction form
    78,704.64/108,604.80 = 45,164.16/x
  3. Step 3: Cross multiply
    78,704.64x = 108,604.80 × 45,164.16
  4. Step 4: Simplify right side
    78,704.64x = 4,905,044,563.97
  5. Step 5: Solve for x
    x = 4,905,044,563.97/78,704.64
  6. Step 6: Final answer
    x = 62,322.18

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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.