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Finding the Fourth Proportional to 138,221.60, 190,745.60 and 77,792.68

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Solution

The fourth proportional to 138,221.60, 190,745.60 and 77,792.68 is: 107,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,221.60 : 190,745.60 = 77,792.68 : x
  2. Step 2: Convert to fraction form
    138,221.60/190,745.60 = 77,792.68/x
  3. Step 3: Cross multiply
    138,221.60x = 190,745.60 × 77,792.68
  4. Step 4: Simplify right side
    138,221.60x = 14,838,611,422.21
  5. Step 5: Solve for x
    x = 14,838,611,422.21/138,221.60
  6. Step 6: Final answer
    x = 107,353.78

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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.