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Finding the Fourth Proportional to 128,815.70, 177,729.32 and 83,495.58

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Solution

The fourth proportional to 128,815.70, 177,729.32 and 83,495.58 is: 115,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,815.70 : 177,729.32 = 83,495.58 : x
  2. Step 2: Convert to fraction form
    128,815.70/177,729.32 = 83,495.58/x
  3. Step 3: Cross multiply
    128,815.70x = 177,729.32 × 83,495.58
  4. Step 4: Simplify right side
    128,815.70x = 14,839,612,656.41
  5. Step 5: Solve for x
    x = 14,839,612,656.41/128,815.70
  6. Step 6: Final answer
    x = 115,200.34

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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.