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Finding the Fourth Proportional to 421,124, 631,728.48 and 136,802.72

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Solution

The fourth proportional to 421,124, 631,728.48 and 136,802.72 is: 205,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,124 : 631,728.48 = 136,802.72 : x
  2. Step 2: Convert to fraction form
    421,124/631,728.48 = 136,802.72/x
  3. Step 3: Cross multiply
    421,124x = 631,728.48 × 136,802.72
  4. Step 4: Simplify right side
    421,124x = 86,422,174,365.47
  5. Step 5: Solve for x
    x = 86,422,174,365.47/421,124
  6. Step 6: Final answer
    x = 205,217.88

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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.