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Finding the Fourth Proportional to 128,954.64, 177,913.80 and 83,689.32

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Solution

The fourth proportional to 128,954.64, 177,913.80 and 83,689.32 is: 115,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,954.64 : 177,913.80 = 83,689.32 : x
  2. Step 2: Convert to fraction form
    128,954.64/177,913.80 = 83,689.32/x
  3. Step 3: Cross multiply
    128,954.64x = 177,913.80 × 83,689.32
  4. Step 4: Simplify right side
    128,954.64x = 14,889,484,940.62
  5. Step 5: Solve for x
    x = 14,889,484,940.62/128,954.64
  6. Step 6: Final answer
    x = 115,462.96

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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.