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Finding the Fourth Proportional to 421,154, 631,840.44 and 125,666

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Solution

The fourth proportional to 421,154, 631,840.44 and 125,666 is: 188,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,154 : 631,840.44 = 125,666 : x
  2. Step 2: Convert to fraction form
    421,154/631,840.44 = 125,666/x
  3. Step 3: Cross multiply
    421,154x = 631,840.44 × 125,666
  4. Step 4: Simplify right side
    421,154x = 79,400,860,733.04
  5. Step 5: Solve for x
    x = 79,400,860,733.04/421,154
  6. Step 6: Final answer
    x = 188,531.66

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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.