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Finding the Fourth Proportional to 77,684.28, 107,138.16 and 65,643.60

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Solution

The fourth proportional to 77,684.28, 107,138.16 and 65,643.60 is: 90,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.28 : 107,138.16 = 65,643.60 : x
  2. Step 2: Convert to fraction form
    77,684.28/107,138.16 = 65,643.60/x
  3. Step 3: Cross multiply
    77,684.28x = 107,138.16 × 65,643.60
  4. Step 4: Simplify right side
    77,684.28x = 7,032,934,519.78
  5. Step 5: Solve for x
    x = 7,032,934,519.78/77,684.28
  6. Step 6: Final answer
    x = 90,532.27

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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.