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Finding the Fourth Proportional to 85,306.71, 117,761 and 55,106.75

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Solution

The fourth proportional to 85,306.71, 117,761 and 55,106.75 is: 76,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.71 : 117,761 = 55,106.75 : x
  2. Step 2: Convert to fraction form
    85,306.71/117,761 = 55,106.75/x
  3. Step 3: Cross multiply
    85,306.71x = 117,761 × 55,106.75
  4. Step 4: Simplify right side
    85,306.71x = 6,489,425,986.75
  5. Step 5: Solve for x
    x = 6,489,425,986.75/85,306.71
  6. Step 6: Final answer
    x = 76,071.69

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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.