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Finding the Fourth Proportional to 218,323.20, 301,261.64 and 122,827.85

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Solution

The fourth proportional to 218,323.20, 301,261.64 and 122,827.85 is: 169,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,323.20 : 301,261.64 = 122,827.85 : x
  2. Step 2: Convert to fraction form
    218,323.20/301,261.64 = 122,827.85/x
  3. Step 3: Cross multiply
    218,323.20x = 301,261.64 × 122,827.85
  4. Step 4: Simplify right side
    218,323.20x = 37,003,319,528.67
  5. Step 5: Solve for x
    x = 37,003,319,528.67/218,323.20
  6. Step 6: Final answer
    x = 169,488.72

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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.