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Finding the Fourth Proportional to 77,438.85, 116,144.43 and 20,513.16

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Solution

The fourth proportional to 77,438.85, 116,144.43 and 20,513.16 is: 30,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,438.85 : 116,144.43 = 20,513.16 : x
  2. Step 2: Convert to fraction form
    77,438.85/116,144.43 = 20,513.16/x
  3. Step 3: Cross multiply
    77,438.85x = 116,144.43 × 20,513.16
  4. Step 4: Simplify right side
    77,438.85x = 2,382,489,275.70
  5. Step 5: Solve for x
    x = 2,382,489,275.70/77,438.85
  6. Step 6: Final answer
    x = 30,766.07

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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.