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Finding the Fourth Proportional to 118,836, 163,993.68 and 71,091.36

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Solution

The fourth proportional to 118,836, 163,993.68 and 71,091.36 is: 98,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,836 : 163,993.68 = 71,091.36 : x
  2. Step 2: Convert to fraction form
    118,836/163,993.68 = 71,091.36/x
  3. Step 3: Cross multiply
    118,836x = 163,993.68 × 71,091.36
  4. Step 4: Simplify right side
    118,836x = 11,658,533,742.60
  5. Step 5: Solve for x
    x = 11,658,533,742.60/118,836
  6. Step 6: Final answer
    x = 98,106.08

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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.