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Finding the Fourth Proportional to 145,646.30, 200,647.30 and 138,919.90

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Solution

The fourth proportional to 145,646.30, 200,647.30 and 138,919.90 is: 191,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,646.30 : 200,647.30 = 138,919.90 : x
  2. Step 2: Convert to fraction form
    145,646.30/200,647.30 = 138,919.90/x
  3. Step 3: Cross multiply
    145,646.30x = 200,647.30 × 138,919.90
  4. Step 4: Simplify right side
    145,646.30x = 27,873,902,851.27
  5. Step 5: Solve for x
    x = 27,873,902,851.27/145,646.30
  6. Step 6: Final answer
    x = 191,380.78

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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.