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Finding the Fourth Proportional to 118,405.77, 177,678.71 and 43,578.48

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Solution

The fourth proportional to 118,405.77, 177,678.71 and 43,578.48 is: 65,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,405.77 : 177,678.71 = 43,578.48 : x
  2. Step 2: Convert to fraction form
    118,405.77/177,678.71 = 43,578.48/x
  3. Step 3: Cross multiply
    118,405.77x = 177,678.71 × 43,578.48
  4. Step 4: Simplify right side
    118,405.77x = 7,742,968,467.39
  5. Step 5: Solve for x
    x = 7,742,968,467.39/118,405.77
  6. Step 6: Final answer
    x = 65,393.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.