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Finding the Fourth Proportional to 76,375.44, 114,526.80 and 31,389.77

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Solution

The fourth proportional to 76,375.44, 114,526.80 and 31,389.77 is: 47,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,375.44 : 114,526.80 = 31,389.77 : x
  2. Step 2: Convert to fraction form
    76,375.44/114,526.80 = 31,389.77/x
  3. Step 3: Cross multiply
    76,375.44x = 114,526.80 × 31,389.77
  4. Step 4: Simplify right side
    76,375.44x = 3,594,969,338.20
  5. Step 5: Solve for x
    x = 3,594,969,338.20/76,375.44
  6. Step 6: Final answer
    x = 47,069.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.