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Finding the Fourth Proportional to 100,114.84, 138,078.84 and 64,308.52

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Solution

The fourth proportional to 100,114.84, 138,078.84 and 64,308.52 is: 88,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.84 : 138,078.84 = 64,308.52 : x
  2. Step 2: Convert to fraction form
    100,114.84/138,078.84 = 64,308.52/x
  3. Step 3: Cross multiply
    100,114.84x = 138,078.84 × 64,308.52
  4. Step 4: Simplify right side
    100,114.84x = 8,879,645,843.72
  5. Step 5: Solve for x
    x = 8,879,645,843.72/100,114.84
  6. Step 6: Final answer
    x = 88,694.60

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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.