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Finding the Fourth Proportional to 145,656.32, 200,998.08 and 81,992

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Solution

The fourth proportional to 145,656.32, 200,998.08 and 81,992 is: 113,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656.32 : 200,998.08 = 81,992 : x
  2. Step 2: Convert to fraction form
    145,656.32/200,998.08 = 81,992/x
  3. Step 3: Cross multiply
    145,656.32x = 200,998.08 × 81,992
  4. Step 4: Simplify right side
    145,656.32x = 16,480,234,575.36
  5. Step 5: Solve for x
    x = 16,480,234,575.36/145,656.32
  6. Step 6: Final answer
    x = 113,144.66

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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.