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Finding the Fourth Proportional to 100,735.71, 139,008.21 and 55,415.60

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Solution

The fourth proportional to 100,735.71, 139,008.21 and 55,415.60 is: 76,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,735.71 : 139,008.21 = 55,415.60 : x
  2. Step 2: Convert to fraction form
    100,735.71/139,008.21 = 55,415.60/x
  3. Step 3: Cross multiply
    100,735.71x = 139,008.21 × 55,415.60
  4. Step 4: Simplify right side
    100,735.71x = 7,703,223,362.08
  5. Step 5: Solve for x
    x = 7,703,223,362.08/100,735.71
  6. Step 6: Final answer
    x = 76,469.64

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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.