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Finding the Fourth Proportional to 100,978.20, 151,467.30 and 63,653.40

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Solution

The fourth proportional to 100,978.20, 151,467.30 and 63,653.40 is: 95,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,978.20 : 151,467.30 = 63,653.40 : x
  2. Step 2: Convert to fraction form
    100,978.20/151,467.30 = 63,653.40/x
  3. Step 3: Cross multiply
    100,978.20x = 151,467.30 × 63,653.40
  4. Step 4: Simplify right side
    100,978.20x = 9,641,408,633.82
  5. Step 5: Solve for x
    x = 9,641,408,633.82/100,978.20
  6. Step 6: Final answer
    x = 95,480.10

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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.