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Finding the Fourth Proportional to 421,125, 631,729.98 and 136,803.72

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Solution

The fourth proportional to 421,125, 631,729.98 and 136,803.72 is: 205,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,125 : 631,729.98 = 136,803.72 : x
  2. Step 2: Convert to fraction form
    421,125/631,729.98 = 136,803.72/x
  3. Step 3: Cross multiply
    421,125x = 631,729.98 × 136,803.72
  4. Step 4: Simplify right side
    421,125x = 86,423,011,299.53
  5. Step 5: Solve for x
    x = 86,423,011,299.53/421,125
  6. Step 6: Final answer
    x = 205,219.38

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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.