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Finding the Fourth Proportional to 77,576.85, 116,371.96 and 21,416.97

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Solution

The fourth proportional to 77,576.85, 116,371.96 and 21,416.97 is: 32,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576.85 : 116,371.96 = 21,416.97 : x
  2. Step 2: Convert to fraction form
    77,576.85/116,371.96 = 21,416.97/x
  3. Step 3: Cross multiply
    77,576.85x = 116,371.96 × 21,416.97
  4. Step 4: Simplify right side
    77,576.85x = 2,492,334,776.16
  5. Step 5: Solve for x
    x = 2,492,334,776.16/77,576.85
  6. Step 6: Final answer
    x = 32,127.30

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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.