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Finding the Fourth Proportional to 77,701.75, 107,257.44 and 45,446.74

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Solution

The fourth proportional to 77,701.75, 107,257.44 and 45,446.74 is: 62,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,701.75 : 107,257.44 = 45,446.74 : x
  2. Step 2: Convert to fraction form
    77,701.75/107,257.44 = 45,446.74/x
  3. Step 3: Cross multiply
    77,701.75x = 107,257.44 × 45,446.74
  4. Step 4: Simplify right side
    77,701.75x = 4,874,500,988.75
  5. Step 5: Solve for x
    x = 4,874,500,988.75/77,701.75
  6. Step 6: Final answer
    x = 62,733.48

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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.