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Finding the Fourth Proportional to 85,405, 117,890.35 and 51,415.07

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Solution

The fourth proportional to 85,405, 117,890.35 and 51,415.07 is: 70,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,405 : 117,890.35 = 51,415.07 : x
  2. Step 2: Convert to fraction form
    85,405/117,890.35 = 51,415.07/x
  3. Step 3: Cross multiply
    85,405x = 117,890.35 × 51,415.07
  4. Step 4: Simplify right side
    85,405x = 6,061,340,597.57
  5. Step 5: Solve for x
    x = 6,061,340,597.57/85,405
  6. Step 6: Final answer
    x = 70,971.73

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1.5x scale

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.