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Finding the Fourth Proportional to 144,967.30, 200,064.06 and 81,309.20

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Solution

The fourth proportional to 144,967.30, 200,064.06 and 81,309.20 is: 112,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,967.30 : 200,064.06 = 81,309.20 : x
  2. Step 2: Convert to fraction form
    144,967.30/200,064.06 = 81,309.20/x
  3. Step 3: Cross multiply
    144,967.30x = 200,064.06 × 81,309.20
  4. Step 4: Simplify right side
    144,967.30x = 16,267,048,667.35
  5. Step 5: Solve for x
    x = 16,267,048,667.35/144,967.30
  6. Step 6: Final answer
    x = 112,211.85

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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.