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Finding the Fourth Proportional to 128,378, 177,101.92 and 83,070.60

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Solution

The fourth proportional to 128,378, 177,101.92 and 83,070.60 is: 114,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,378 : 177,101.92 = 83,070.60 : x
  2. Step 2: Convert to fraction form
    128,378/177,101.92 = 83,070.60/x
  3. Step 3: Cross multiply
    128,378x = 177,101.92 × 83,070.60
  4. Step 4: Simplify right side
    128,378x = 14,711,962,755.55
  5. Step 5: Solve for x
    x = 14,711,962,755.55/128,378
  6. Step 6: Final answer
    x = 114,598.78

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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.