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Finding the Fourth Proportional to 128,711.36, 177,621.44 and 78,410.36

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Solution

The fourth proportional to 128,711.36, 177,621.44 and 78,410.36 is: 108,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,711.36 : 177,621.44 = 78,410.36 : x
  2. Step 2: Convert to fraction form
    128,711.36/177,621.44 = 78,410.36/x
  3. Step 3: Cross multiply
    128,711.36x = 177,621.44 × 78,410.36
  4. Step 4: Simplify right side
    128,711.36x = 13,927,361,054.12
  5. Step 5: Solve for x
    x = 13,927,361,054.12/128,711.36
  6. Step 6: Final answer
    x = 108,206.15

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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.