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Finding the Fourth Proportional to 218,323.22, 301,269.93 and 122,811.53

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Solution

The fourth proportional to 218,323.22, 301,269.93 and 122,811.53 is: 169,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,323.22 : 301,269.93 = 122,811.53 : x
  2. Step 2: Convert to fraction form
    218,323.22/301,269.93 = 122,811.53/x
  3. Step 3: Cross multiply
    218,323.22x = 301,269.93 × 122,811.53
  4. Step 4: Simplify right side
    218,323.22x = 36,999,421,046.29
  5. Step 5: Solve for x
    x = 36,999,421,046.29/218,323.22
  6. Step 6: Final answer
    x = 169,470.85

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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.