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Finding the Fourth Proportional to 70,978.83, 106,468.25 and 18,388.32

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Solution

The fourth proportional to 70,978.83, 106,468.25 and 18,388.32 is: 27,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.83 : 106,468.25 = 18,388.32 : x
  2. Step 2: Convert to fraction form
    70,978.83/106,468.25 = 18,388.32/x
  3. Step 3: Cross multiply
    70,978.83x = 106,468.25 × 18,388.32
  4. Step 4: Simplify right side
    70,978.83x = 1,957,772,158.90
  5. Step 5: Solve for x
    x = 1,957,772,158.90/70,978.83
  6. Step 6: Final answer
    x = 27,582.48

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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.