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Finding the Fourth Proportional to 421,102.80, 631,587.38 and 136,800.09

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Solution

The fourth proportional to 421,102.80, 631,587.38 and 136,800.09 is: 205,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,102.80 : 631,587.38 = 136,800.09 : x
  2. Step 2: Convert to fraction form
    421,102.80/631,587.38 = 136,800.09/x
  3. Step 3: Cross multiply
    421,102.80x = 631,587.38 × 136,800.09
  4. Step 4: Simplify right side
    421,102.80x = 86,401,209,742.86
  5. Step 5: Solve for x
    x = 86,401,209,742.86/421,102.80
  6. Step 6: Final answer
    x = 205,178.43

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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.