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Finding the Fourth Proportional to 85,314, 117,725.94 and 55,100.64

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Solution

The fourth proportional to 85,314, 117,725.94 and 55,100.64 is: 76,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314 : 117,725.94 = 55,100.64 : x
  2. Step 2: Convert to fraction form
    85,314/117,725.94 = 55,100.64/x
  3. Step 3: Cross multiply
    85,314x = 117,725.94 × 55,100.64
  4. Step 4: Simplify right side
    85,314x = 6,486,774,638.60
  5. Step 5: Solve for x
    x = 6,486,774,638.60/85,314
  6. Step 6: Final answer
    x = 76,034.12

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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.